8.683 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.151 * * * [progress]: [2/2] Setting up program. 0.154 * [progress]: [Phase 2 of 3] Improving. 0.154 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.156 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.157 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.159 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.161 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.167 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.190 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.190 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.190 * * [progress]: iteration 1 / 4 0.190 * * * [progress]: picking best candidate 0.193 * * * * [pick]: Picked # 0.193 * * * [progress]: localizing error 0.206 * * * [progress]: generating rewritten candidates 0.206 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.209 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.215 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.219 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.224 * * * [progress]: generating series expansions 0.224 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.224 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.224 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.224 * [taylor]: Taking taylor expansion of 1.0 in k 0.224 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.224 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.224 * [taylor]: Taking taylor expansion of k in k 0.226 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.226 * [taylor]: Taking taylor expansion of 1.0 in k 0.226 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.226 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.226 * [taylor]: Taking taylor expansion of k in k 0.237 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.237 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.237 * [taylor]: Taking taylor expansion of 1.0 in k 0.237 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.237 * [taylor]: Taking taylor expansion of k in k 0.238 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.238 * [taylor]: Taking taylor expansion of 1.0 in k 0.238 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.238 * [taylor]: Taking taylor expansion of k in k 0.254 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.254 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.254 * [taylor]: Taking taylor expansion of 1.0 in k 0.254 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.254 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.254 * [taylor]: Taking taylor expansion of -1 in k 0.254 * [taylor]: Taking taylor expansion of k in k 0.256 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.256 * [taylor]: Taking taylor expansion of 1.0 in k 0.256 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.256 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.256 * [taylor]: Taking taylor expansion of -1 in k 0.256 * [taylor]: Taking taylor expansion of k in k 0.267 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.268 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 0.268 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.268 * [taylor]: Taking taylor expansion of 1.0 in n 0.268 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.268 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.268 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.268 * [taylor]: Taking taylor expansion of k in n 0.268 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.268 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.268 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.268 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.268 * [taylor]: Taking taylor expansion of 0.5 in n 0.268 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.268 * [taylor]: Taking taylor expansion of 1.0 in n 0.268 * [taylor]: Taking taylor expansion of k in n 0.269 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.269 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.269 * [taylor]: Taking taylor expansion of 2.0 in n 0.269 * [taylor]: Taking taylor expansion of (* n PI) in n 0.269 * [taylor]: Taking taylor expansion of n in n 0.269 * [taylor]: Taking taylor expansion of PI in n 0.274 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.274 * [taylor]: Taking taylor expansion of 1.0 in k 0.274 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.274 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.274 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.274 * [taylor]: Taking taylor expansion of k in k 0.276 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.276 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.276 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.276 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.276 * [taylor]: Taking taylor expansion of 0.5 in k 0.276 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.276 * [taylor]: Taking taylor expansion of 1.0 in k 0.276 * [taylor]: Taking taylor expansion of k in k 0.276 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.276 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.276 * [taylor]: Taking taylor expansion of 2.0 in k 0.276 * [taylor]: Taking taylor expansion of (* n PI) in k 0.276 * [taylor]: Taking taylor expansion of n in k 0.276 * [taylor]: Taking taylor expansion of PI in k 0.277 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.277 * [taylor]: Taking taylor expansion of 1.0 in k 0.277 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.277 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.277 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.277 * [taylor]: Taking taylor expansion of k in k 0.278 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.278 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.278 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.278 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.278 * [taylor]: Taking taylor expansion of 0.5 in k 0.278 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.278 * [taylor]: Taking taylor expansion of 1.0 in k 0.278 * [taylor]: Taking taylor expansion of k in k 0.278 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.278 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.278 * [taylor]: Taking taylor expansion of 2.0 in k 0.278 * [taylor]: Taking taylor expansion of (* n PI) in k 0.278 * [taylor]: Taking taylor expansion of n in k 0.278 * [taylor]: Taking taylor expansion of PI in k 0.280 * [taylor]: Taking taylor expansion of 0 in n 0.285 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.285 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.285 * [taylor]: Taking taylor expansion of +nan.0 in n 0.285 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.285 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.286 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.286 * [taylor]: Taking taylor expansion of 0.5 in n 0.286 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.286 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.286 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.286 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.286 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.286 * [taylor]: Taking taylor expansion of 1.0 in n 0.286 * [taylor]: Taking taylor expansion of (log PI) in n 0.286 * [taylor]: Taking taylor expansion of PI in n 0.288 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.288 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.288 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.288 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.288 * [taylor]: Taking taylor expansion of 1.0 in n 0.288 * [taylor]: Taking taylor expansion of (log n) in n 0.288 * [taylor]: Taking taylor expansion of n in n 0.288 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.288 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.288 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.288 * [taylor]: Taking taylor expansion of 1.0 in n 0.288 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.288 * [taylor]: Taking taylor expansion of 2.0 in n 0.309 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 0.309 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 0.309 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.309 * [taylor]: Taking taylor expansion of +nan.0 in n 0.309 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.309 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.309 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.309 * [taylor]: Taking taylor expansion of 0.5 in n 0.309 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.309 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.309 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.309 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.309 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.309 * [taylor]: Taking taylor expansion of 1.0 in n 0.309 * [taylor]: Taking taylor expansion of (log PI) in n 0.309 * [taylor]: Taking taylor expansion of PI in n 0.311 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.311 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.311 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.311 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.311 * [taylor]: Taking taylor expansion of 1.0 in n 0.311 * [taylor]: Taking taylor expansion of (log n) in n 0.311 * [taylor]: Taking taylor expansion of n in n 0.312 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.312 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.312 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.312 * [taylor]: Taking taylor expansion of 1.0 in n 0.312 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.312 * [taylor]: Taking taylor expansion of 2.0 in n 0.317 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 0.317 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.318 * [taylor]: Taking taylor expansion of +nan.0 in n 0.318 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.318 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.318 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.318 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.318 * [taylor]: Taking taylor expansion of 0.5 in n 0.318 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.318 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.318 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.318 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.318 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.318 * [taylor]: Taking taylor expansion of 1.0 in n 0.318 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.318 * [taylor]: Taking taylor expansion of 2.0 in n 0.320 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.320 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.320 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.320 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.320 * [taylor]: Taking taylor expansion of 1.0 in n 0.320 * [taylor]: Taking taylor expansion of (log PI) in n 0.320 * [taylor]: Taking taylor expansion of PI in n 0.322 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.322 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.322 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.322 * [taylor]: Taking taylor expansion of 1.0 in n 0.322 * [taylor]: Taking taylor expansion of (log n) in n 0.322 * [taylor]: Taking taylor expansion of n in n 0.326 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.326 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.326 * [taylor]: Taking taylor expansion of 2.0 in n 0.326 * [taylor]: Taking taylor expansion of (* n PI) in n 0.326 * [taylor]: Taking taylor expansion of n in n 0.326 * [taylor]: Taking taylor expansion of PI in n 0.380 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 0.380 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 0.380 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.380 * [taylor]: Taking taylor expansion of +nan.0 in n 0.380 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.380 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.380 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.380 * [taylor]: Taking taylor expansion of 0.5 in n 0.380 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.380 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.380 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.380 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.380 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.380 * [taylor]: Taking taylor expansion of 1.0 in n 0.380 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.380 * [taylor]: Taking taylor expansion of 2.0 in n 0.382 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.382 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.382 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.382 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.382 * [taylor]: Taking taylor expansion of 1.0 in n 0.382 * [taylor]: Taking taylor expansion of (log n) in n 0.382 * [taylor]: Taking taylor expansion of n in n 0.382 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.382 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.382 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.382 * [taylor]: Taking taylor expansion of 1.0 in n 0.382 * [taylor]: Taking taylor expansion of (log PI) in n 0.382 * [taylor]: Taking taylor expansion of PI in n 0.388 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 0.388 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 0.388 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.388 * [taylor]: Taking taylor expansion of +nan.0 in n 0.388 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.388 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.388 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.388 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.388 * [taylor]: Taking taylor expansion of 0.5 in n 0.388 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.388 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.388 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.388 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.388 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.388 * [taylor]: Taking taylor expansion of 1.0 in n 0.388 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.388 * [taylor]: Taking taylor expansion of 2.0 in n 0.390 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.390 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.390 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.390 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.390 * [taylor]: Taking taylor expansion of 1.0 in n 0.390 * [taylor]: Taking taylor expansion of (log PI) in n 0.390 * [taylor]: Taking taylor expansion of PI in n 0.392 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.392 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.392 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.392 * [taylor]: Taking taylor expansion of 1.0 in n 0.392 * [taylor]: Taking taylor expansion of (log n) in n 0.392 * [taylor]: Taking taylor expansion of n in n 0.396 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.396 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.396 * [taylor]: Taking taylor expansion of 2.0 in n 0.396 * [taylor]: Taking taylor expansion of (* n PI) in n 0.396 * [taylor]: Taking taylor expansion of n in n 0.396 * [taylor]: Taking taylor expansion of PI in n 0.400 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 0.400 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 0.400 * [taylor]: Taking taylor expansion of +nan.0 in n 0.400 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 0.400 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.400 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.400 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.400 * [taylor]: Taking taylor expansion of 0.5 in n 0.400 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.400 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.400 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.400 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.400 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.400 * [taylor]: Taking taylor expansion of 1.0 in n 0.400 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.400 * [taylor]: Taking taylor expansion of 2.0 in n 0.402 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.402 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.402 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.402 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.402 * [taylor]: Taking taylor expansion of 1.0 in n 0.402 * [taylor]: Taking taylor expansion of (log PI) in n 0.402 * [taylor]: Taking taylor expansion of PI in n 0.404 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.404 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.404 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.404 * [taylor]: Taking taylor expansion of 1.0 in n 0.404 * [taylor]: Taking taylor expansion of (log n) in n 0.404 * [taylor]: Taking taylor expansion of n in n 0.408 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.408 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.408 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.408 * [taylor]: Taking taylor expansion of 2.0 in n 0.408 * [taylor]: Taking taylor expansion of (* n PI) in n 0.408 * [taylor]: Taking taylor expansion of n in n 0.408 * [taylor]: Taking taylor expansion of PI in n 0.485 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 0.485 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.485 * [taylor]: Taking taylor expansion of 1.0 in n 0.485 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.486 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.486 * [taylor]: Taking taylor expansion of k in n 0.486 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.486 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.486 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.486 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.486 * [taylor]: Taking taylor expansion of 0.5 in n 0.486 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.486 * [taylor]: Taking taylor expansion of 1.0 in n 0.486 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.486 * [taylor]: Taking taylor expansion of k in n 0.486 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.486 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.486 * [taylor]: Taking taylor expansion of 2.0 in n 0.486 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.486 * [taylor]: Taking taylor expansion of PI in n 0.486 * [taylor]: Taking taylor expansion of n in n 0.490 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.490 * [taylor]: Taking taylor expansion of 1.0 in k 0.490 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.490 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.490 * [taylor]: Taking taylor expansion of k in k 0.491 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.491 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.491 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.491 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.491 * [taylor]: Taking taylor expansion of 0.5 in k 0.491 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.491 * [taylor]: Taking taylor expansion of 1.0 in k 0.491 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.491 * [taylor]: Taking taylor expansion of k in k 0.492 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.492 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.492 * [taylor]: Taking taylor expansion of 2.0 in k 0.492 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.492 * [taylor]: Taking taylor expansion of PI in k 0.492 * [taylor]: Taking taylor expansion of n in k 0.493 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.493 * [taylor]: Taking taylor expansion of 1.0 in k 0.493 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.493 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.493 * [taylor]: Taking taylor expansion of k in k 0.494 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.494 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.494 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.494 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.494 * [taylor]: Taking taylor expansion of 0.5 in k 0.494 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.494 * [taylor]: Taking taylor expansion of 1.0 in k 0.494 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.494 * [taylor]: Taking taylor expansion of k in k 0.494 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.494 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.494 * [taylor]: Taking taylor expansion of 2.0 in k 0.494 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.495 * [taylor]: Taking taylor expansion of PI in k 0.495 * [taylor]: Taking taylor expansion of n in k 0.496 * [taylor]: Taking taylor expansion of 0 in n 0.497 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.497 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.497 * [taylor]: Taking taylor expansion of +nan.0 in n 0.497 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.497 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.497 * [taylor]: Taking taylor expansion of 0.5 in n 0.497 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.497 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.497 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.497 * [taylor]: Taking taylor expansion of 2.0 in n 0.497 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.497 * [taylor]: Taking taylor expansion of PI in n 0.497 * [taylor]: Taking taylor expansion of n in n 0.498 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.498 * [taylor]: Taking taylor expansion of 1.0 in n 0.498 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.498 * [taylor]: Taking taylor expansion of k in n 0.507 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.507 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.507 * [taylor]: Taking taylor expansion of +nan.0 in n 0.507 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.507 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.507 * [taylor]: Taking taylor expansion of 0.5 in n 0.507 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.507 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.507 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.507 * [taylor]: Taking taylor expansion of 2.0 in n 0.507 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.507 * [taylor]: Taking taylor expansion of PI in n 0.507 * [taylor]: Taking taylor expansion of n in n 0.508 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.508 * [taylor]: Taking taylor expansion of 1.0 in n 0.508 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.508 * [taylor]: Taking taylor expansion of k in n 0.529 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.529 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.529 * [taylor]: Taking taylor expansion of +nan.0 in n 0.529 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.529 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.529 * [taylor]: Taking taylor expansion of 0.5 in n 0.530 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.530 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.530 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.530 * [taylor]: Taking taylor expansion of 2.0 in n 0.530 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.530 * [taylor]: Taking taylor expansion of PI in n 0.530 * [taylor]: Taking taylor expansion of n in n 0.531 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.531 * [taylor]: Taking taylor expansion of 1.0 in n 0.531 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.531 * [taylor]: Taking taylor expansion of k in n 0.540 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 0.540 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.540 * [taylor]: Taking taylor expansion of 1.0 in n 0.540 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.540 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.540 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.540 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.540 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.540 * [taylor]: Taking taylor expansion of 0.5 in n 0.540 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.540 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.540 * [taylor]: Taking taylor expansion of k in n 0.540 * [taylor]: Taking taylor expansion of 1.0 in n 0.540 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.540 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.540 * [taylor]: Taking taylor expansion of -2.0 in n 0.540 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.540 * [taylor]: Taking taylor expansion of PI in n 0.540 * [taylor]: Taking taylor expansion of n in n 0.544 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.544 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.544 * [taylor]: Taking taylor expansion of -1 in n 0.544 * [taylor]: Taking taylor expansion of k in n 0.545 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.545 * [taylor]: Taking taylor expansion of 1.0 in k 0.545 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.545 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.545 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.545 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.545 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.545 * [taylor]: Taking taylor expansion of 0.5 in k 0.545 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.545 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.545 * [taylor]: Taking taylor expansion of k in k 0.545 * [taylor]: Taking taylor expansion of 1.0 in k 0.545 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.545 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.545 * [taylor]: Taking taylor expansion of -2.0 in k 0.545 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.545 * [taylor]: Taking taylor expansion of PI in k 0.545 * [taylor]: Taking taylor expansion of n in k 0.546 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.546 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.546 * [taylor]: Taking taylor expansion of -1 in k 0.546 * [taylor]: Taking taylor expansion of k in k 0.548 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.548 * [taylor]: Taking taylor expansion of 1.0 in k 0.548 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.548 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.548 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.548 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.548 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.548 * [taylor]: Taking taylor expansion of 0.5 in k 0.548 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.548 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.548 * [taylor]: Taking taylor expansion of k in k 0.548 * [taylor]: Taking taylor expansion of 1.0 in k 0.548 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.548 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.548 * [taylor]: Taking taylor expansion of -2.0 in k 0.548 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.548 * [taylor]: Taking taylor expansion of PI in k 0.548 * [taylor]: Taking taylor expansion of n in k 0.549 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.549 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.549 * [taylor]: Taking taylor expansion of -1 in k 0.549 * [taylor]: Taking taylor expansion of k in k 0.551 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.551 * [taylor]: Taking taylor expansion of +nan.0 in n 0.551 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.551 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.551 * [taylor]: Taking taylor expansion of 0.5 in n 0.551 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.551 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.551 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.551 * [taylor]: Taking taylor expansion of k in n 0.551 * [taylor]: Taking taylor expansion of 1.0 in n 0.551 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.551 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.551 * [taylor]: Taking taylor expansion of -2.0 in n 0.551 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.551 * [taylor]: Taking taylor expansion of PI in n 0.551 * [taylor]: Taking taylor expansion of n in n 0.560 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.560 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.560 * [taylor]: Taking taylor expansion of +nan.0 in n 0.560 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.560 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.560 * [taylor]: Taking taylor expansion of 0.5 in n 0.560 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.560 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.560 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.560 * [taylor]: Taking taylor expansion of k in n 0.560 * [taylor]: Taking taylor expansion of 1.0 in n 0.560 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.560 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.560 * [taylor]: Taking taylor expansion of -2.0 in n 0.560 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.560 * [taylor]: Taking taylor expansion of PI in n 0.560 * [taylor]: Taking taylor expansion of n in n 0.579 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.579 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.579 * [taylor]: Taking taylor expansion of +nan.0 in n 0.579 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.579 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.579 * [taylor]: Taking taylor expansion of 0.5 in n 0.579 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.579 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.579 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.579 * [taylor]: Taking taylor expansion of k in n 0.579 * [taylor]: Taking taylor expansion of 1.0 in n 0.579 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.579 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.579 * [taylor]: Taking taylor expansion of -2.0 in n 0.579 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.579 * [taylor]: Taking taylor expansion of PI in n 0.579 * [taylor]: Taking taylor expansion of n in n 0.588 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.589 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.589 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.589 * [taylor]: Taking taylor expansion of 2.0 in n 0.589 * [taylor]: Taking taylor expansion of (* n PI) in n 0.589 * [taylor]: Taking taylor expansion of n in n 0.589 * [taylor]: Taking taylor expansion of PI in n 0.589 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.589 * [taylor]: Taking taylor expansion of 2.0 in n 0.589 * [taylor]: Taking taylor expansion of (* n PI) in n 0.589 * [taylor]: Taking taylor expansion of n in n 0.589 * [taylor]: Taking taylor expansion of PI in n 0.605 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.605 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.605 * [taylor]: Taking taylor expansion of 2.0 in n 0.605 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.605 * [taylor]: Taking taylor expansion of PI in n 0.605 * [taylor]: Taking taylor expansion of n in n 0.606 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.606 * [taylor]: Taking taylor expansion of 2.0 in n 0.606 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.606 * [taylor]: Taking taylor expansion of PI in n 0.606 * [taylor]: Taking taylor expansion of n in n 0.615 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.615 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.615 * [taylor]: Taking taylor expansion of -2.0 in n 0.615 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.615 * [taylor]: Taking taylor expansion of PI in n 0.615 * [taylor]: Taking taylor expansion of n in n 0.616 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.616 * [taylor]: Taking taylor expansion of -2.0 in n 0.616 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.616 * [taylor]: Taking taylor expansion of PI in n 0.616 * [taylor]: Taking taylor expansion of n in n 0.625 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.625 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.625 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.625 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.625 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.625 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.625 * [taylor]: Taking taylor expansion of 0.5 in k 0.625 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.625 * [taylor]: Taking taylor expansion of 1.0 in k 0.625 * [taylor]: Taking taylor expansion of k in k 0.625 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.625 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.625 * [taylor]: Taking taylor expansion of 2.0 in k 0.626 * [taylor]: Taking taylor expansion of (* n PI) in k 0.626 * [taylor]: Taking taylor expansion of n in k 0.626 * [taylor]: Taking taylor expansion of PI in k 0.627 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.627 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.627 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.627 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.627 * [taylor]: Taking taylor expansion of 0.5 in n 0.627 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.627 * [taylor]: Taking taylor expansion of 1.0 in n 0.627 * [taylor]: Taking taylor expansion of k in n 0.627 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.627 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.627 * [taylor]: Taking taylor expansion of 2.0 in n 0.627 * [taylor]: Taking taylor expansion of (* n PI) in n 0.627 * [taylor]: Taking taylor expansion of n in n 0.627 * [taylor]: Taking taylor expansion of PI in n 0.632 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.632 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.632 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.632 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.632 * [taylor]: Taking taylor expansion of 0.5 in n 0.632 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.632 * [taylor]: Taking taylor expansion of 1.0 in n 0.633 * [taylor]: Taking taylor expansion of k in n 0.633 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.633 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.633 * [taylor]: Taking taylor expansion of 2.0 in n 0.633 * [taylor]: Taking taylor expansion of (* n PI) in n 0.633 * [taylor]: Taking taylor expansion of n in n 0.633 * [taylor]: Taking taylor expansion of PI in n 0.638 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.638 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.638 * [taylor]: Taking taylor expansion of 0.5 in k 0.638 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.638 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.638 * [taylor]: Taking taylor expansion of 1.0 in k 0.638 * [taylor]: Taking taylor expansion of k in k 0.638 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.638 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.638 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.638 * [taylor]: Taking taylor expansion of 2.0 in k 0.638 * [taylor]: Taking taylor expansion of PI in k 0.639 * [taylor]: Taking taylor expansion of (log n) in k 0.639 * [taylor]: Taking taylor expansion of n in k 0.649 * [taylor]: Taking taylor expansion of 0 in k 0.665 * [taylor]: Taking taylor expansion of 0 in k 0.685 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.685 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.685 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.685 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.685 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.685 * [taylor]: Taking taylor expansion of 0.5 in k 0.685 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.685 * [taylor]: Taking taylor expansion of 1.0 in k 0.685 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.685 * [taylor]: Taking taylor expansion of k in k 0.685 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.685 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.685 * [taylor]: Taking taylor expansion of 2.0 in k 0.685 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.685 * [taylor]: Taking taylor expansion of PI in k 0.685 * [taylor]: Taking taylor expansion of n in k 0.686 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.686 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.686 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.686 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.686 * [taylor]: Taking taylor expansion of 0.5 in n 0.686 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.686 * [taylor]: Taking taylor expansion of 1.0 in n 0.687 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.687 * [taylor]: Taking taylor expansion of k in n 0.687 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.687 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.692 * [taylor]: Taking taylor expansion of 2.0 in n 0.692 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.692 * [taylor]: Taking taylor expansion of PI in n 0.692 * [taylor]: Taking taylor expansion of n in n 0.697 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.697 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.697 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.697 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.697 * [taylor]: Taking taylor expansion of 0.5 in n 0.697 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.697 * [taylor]: Taking taylor expansion of 1.0 in n 0.697 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.697 * [taylor]: Taking taylor expansion of k in n 0.697 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.697 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.697 * [taylor]: Taking taylor expansion of 2.0 in n 0.697 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.697 * [taylor]: Taking taylor expansion of PI in n 0.697 * [taylor]: Taking taylor expansion of n in n 0.701 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.701 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.701 * [taylor]: Taking taylor expansion of 0.5 in k 0.701 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.701 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.701 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.701 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.701 * [taylor]: Taking taylor expansion of 2.0 in k 0.701 * [taylor]: Taking taylor expansion of PI in k 0.702 * [taylor]: Taking taylor expansion of (log n) in k 0.702 * [taylor]: Taking taylor expansion of n in k 0.702 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.702 * [taylor]: Taking taylor expansion of 1.0 in k 0.702 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.702 * [taylor]: Taking taylor expansion of k in k 0.712 * [taylor]: Taking taylor expansion of 0 in k 0.719 * [taylor]: Taking taylor expansion of 0 in k 0.728 * [taylor]: Taking taylor expansion of 0 in k 0.730 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.730 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.730 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.730 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.730 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.730 * [taylor]: Taking taylor expansion of 0.5 in k 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.730 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.730 * [taylor]: Taking taylor expansion of k in k 0.730 * [taylor]: Taking taylor expansion of 1.0 in k 0.730 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.730 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.730 * [taylor]: Taking taylor expansion of -2.0 in k 0.730 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.730 * [taylor]: Taking taylor expansion of PI in k 0.730 * [taylor]: Taking taylor expansion of n in k 0.731 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.731 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.731 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.731 * [taylor]: Taking taylor expansion of 0.5 in n 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.731 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.731 * [taylor]: Taking taylor expansion of k in n 0.731 * [taylor]: Taking taylor expansion of 1.0 in n 0.731 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.731 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.731 * [taylor]: Taking taylor expansion of -2.0 in n 0.731 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.731 * [taylor]: Taking taylor expansion of PI in n 0.731 * [taylor]: Taking taylor expansion of n in n 0.735 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.735 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.735 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.735 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.735 * [taylor]: Taking taylor expansion of 0.5 in n 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.735 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.735 * [taylor]: Taking taylor expansion of k in n 0.735 * [taylor]: Taking taylor expansion of 1.0 in n 0.735 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.735 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.735 * [taylor]: Taking taylor expansion of -2.0 in n 0.735 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.735 * [taylor]: Taking taylor expansion of PI in n 0.735 * [taylor]: Taking taylor expansion of n in n 0.739 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.739 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.739 * [taylor]: Taking taylor expansion of 0.5 in k 0.739 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.739 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.739 * [taylor]: Taking taylor expansion of k in k 0.739 * [taylor]: Taking taylor expansion of 1.0 in k 0.739 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.740 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.740 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.740 * [taylor]: Taking taylor expansion of -2.0 in k 0.740 * [taylor]: Taking taylor expansion of PI in k 0.741 * [taylor]: Taking taylor expansion of (log n) in k 0.741 * [taylor]: Taking taylor expansion of n in k 0.750 * [taylor]: Taking taylor expansion of 0 in k 0.757 * [taylor]: Taking taylor expansion of 0 in k 0.766 * [taylor]: Taking taylor expansion of 0 in k 0.766 * * * [progress]: simplifying candidates 0.767 * [simplify]: Simplifying using # : (- 1.0) (- (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt k) 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow n (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* 1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* PI n) (* 2.0 n) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (pow (* 2.0 n) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 0.774 * * [simplify]: iteration 0 : 582 enodes (cost 496 ) 0.783 * * [simplify]: iteration 1 : 2170 enodes (cost 463 ) 0.820 * * [simplify]: iteration 2 : 5002 enodes (cost 455 ) 0.823 * [simplify]: Simplified to: (- 1.0) (- (pow k 1/2)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (/ (sqrt k) 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow n (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (* PI n) (* 2.0 n) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* 2.0 (* n PI)) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (pow (* 2.0 n) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (+ (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))) (+ (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))) (+ (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (pow k 2)) (* +nan.0 k)))))) (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* 2.0 (* n PI)) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 0.823 * * * [progress]: adding candidates to table 0.968 * * [progress]: iteration 2 / 4 0.968 * * * [progress]: picking best candidate 0.982 * * * * [pick]: Picked # 0.982 * * * [progress]: localizing error 1.001 * * * [progress]: generating rewritten candidates 1.001 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.016 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.020 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.023 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.032 * * * [progress]: generating series expansions 1.032 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.034 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 1.034 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 1.034 * [taylor]: Taking taylor expansion of 1.0 in k 1.034 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 1.034 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.034 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.034 * [taylor]: Taking taylor expansion of k in k 1.035 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 1.035 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.035 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.035 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.035 * [taylor]: Taking taylor expansion of 0.5 in k 1.035 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.035 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.035 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.035 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.035 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.035 * [taylor]: Taking taylor expansion of 1.0 in k 1.035 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.035 * [taylor]: Taking taylor expansion of 2.0 in k 1.037 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.037 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.037 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.037 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.037 * [taylor]: Taking taylor expansion of 1.0 in k 1.037 * [taylor]: Taking taylor expansion of (log n) in k 1.037 * [taylor]: Taking taylor expansion of n in k 1.037 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.037 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.037 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.037 * [taylor]: Taking taylor expansion of 1.0 in k 1.037 * [taylor]: Taking taylor expansion of (log PI) in k 1.037 * [taylor]: Taking taylor expansion of PI in k 1.043 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.043 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.043 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.043 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.043 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.043 * [taylor]: Taking taylor expansion of 0.5 in k 1.043 * [taylor]: Taking taylor expansion of k in k 1.043 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.043 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.043 * [taylor]: Taking taylor expansion of 2.0 in k 1.043 * [taylor]: Taking taylor expansion of (* n PI) in k 1.043 * [taylor]: Taking taylor expansion of n in k 1.043 * [taylor]: Taking taylor expansion of PI in k 1.046 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.046 * [taylor]: Taking taylor expansion of 1.0 in n 1.046 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.046 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.046 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.046 * [taylor]: Taking taylor expansion of k in n 1.046 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.046 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.046 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.046 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.046 * [taylor]: Taking taylor expansion of 0.5 in n 1.046 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.047 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.047 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.047 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.047 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.047 * [taylor]: Taking taylor expansion of 1.0 in n 1.047 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.047 * [taylor]: Taking taylor expansion of 2.0 in n 1.048 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.048 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.048 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.048 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.048 * [taylor]: Taking taylor expansion of 1.0 in n 1.048 * [taylor]: Taking taylor expansion of (log n) in n 1.048 * [taylor]: Taking taylor expansion of n in n 1.049 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.049 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.049 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.049 * [taylor]: Taking taylor expansion of 1.0 in n 1.049 * [taylor]: Taking taylor expansion of (log PI) in n 1.049 * [taylor]: Taking taylor expansion of PI in n 1.054 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.054 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.055 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.055 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.055 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.055 * [taylor]: Taking taylor expansion of 0.5 in n 1.055 * [taylor]: Taking taylor expansion of k in n 1.055 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.055 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.055 * [taylor]: Taking taylor expansion of 2.0 in n 1.055 * [taylor]: Taking taylor expansion of (* n PI) in n 1.055 * [taylor]: Taking taylor expansion of n in n 1.055 * [taylor]: Taking taylor expansion of PI in n 1.061 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.061 * [taylor]: Taking taylor expansion of 1.0 in n 1.061 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.061 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.061 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.061 * [taylor]: Taking taylor expansion of k in n 1.061 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.061 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.061 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.061 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.061 * [taylor]: Taking taylor expansion of 0.5 in n 1.061 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.061 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.061 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.061 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.061 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.061 * [taylor]: Taking taylor expansion of 1.0 in n 1.061 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.061 * [taylor]: Taking taylor expansion of 2.0 in n 1.063 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.063 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.063 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.063 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.063 * [taylor]: Taking taylor expansion of 1.0 in n 1.063 * [taylor]: Taking taylor expansion of (log n) in n 1.063 * [taylor]: Taking taylor expansion of n in n 1.064 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.064 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.064 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.064 * [taylor]: Taking taylor expansion of 1.0 in n 1.064 * [taylor]: Taking taylor expansion of (log PI) in n 1.064 * [taylor]: Taking taylor expansion of PI in n 1.069 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.069 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.069 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.069 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.069 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.069 * [taylor]: Taking taylor expansion of 0.5 in n 1.069 * [taylor]: Taking taylor expansion of k in n 1.069 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.069 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.069 * [taylor]: Taking taylor expansion of 2.0 in n 1.069 * [taylor]: Taking taylor expansion of (* n PI) in n 1.069 * [taylor]: Taking taylor expansion of n in n 1.069 * [taylor]: Taking taylor expansion of PI in n 1.080 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 1.080 * [taylor]: Taking taylor expansion of 1.0 in k 1.080 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 1.080 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.080 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.080 * [taylor]: Taking taylor expansion of k in k 1.082 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 1.082 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.082 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.082 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.082 * [taylor]: Taking taylor expansion of 0.5 in k 1.082 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.082 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.082 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.082 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.082 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.082 * [taylor]: Taking taylor expansion of 1.0 in k 1.082 * [taylor]: Taking taylor expansion of (log PI) in k 1.082 * [taylor]: Taking taylor expansion of PI in k 1.084 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.084 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.084 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.084 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.084 * [taylor]: Taking taylor expansion of 1.0 in k 1.084 * [taylor]: Taking taylor expansion of (log n) in k 1.084 * [taylor]: Taking taylor expansion of n in k 1.084 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.084 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.084 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.084 * [taylor]: Taking taylor expansion of 1.0 in k 1.084 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.084 * [taylor]: Taking taylor expansion of 2.0 in k 1.089 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.089 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.090 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.090 * [taylor]: Taking taylor expansion of 0.5 in k 1.090 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.090 * [taylor]: Taking taylor expansion of k in k 1.090 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.090 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.090 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.090 * [taylor]: Taking taylor expansion of 2.0 in k 1.090 * [taylor]: Taking taylor expansion of PI in k 1.091 * [taylor]: Taking taylor expansion of (log n) in k 1.091 * [taylor]: Taking taylor expansion of n in k 1.127 * [taylor]: Taking taylor expansion of 0 in k 1.180 * [taylor]: Taking taylor expansion of 0 in k 1.286 * [taylor]: Taking taylor expansion of 0 in k 1.405 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 1.405 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 1.405 * [taylor]: Taking taylor expansion of 1.0 in k 1.405 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 1.405 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.405 * [taylor]: Taking taylor expansion of k in k 1.407 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 1.407 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.407 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.407 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.407 * [taylor]: Taking taylor expansion of 0.5 in k 1.407 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.407 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.407 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.407 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.407 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.407 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.407 * [taylor]: Taking taylor expansion of 1.0 in k 1.407 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.407 * [taylor]: Taking taylor expansion of 2.0 in k 1.409 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.409 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.409 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.409 * [taylor]: Taking taylor expansion of 1.0 in k 1.409 * [taylor]: Taking taylor expansion of (log PI) in k 1.409 * [taylor]: Taking taylor expansion of PI in k 1.410 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.411 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.411 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.411 * [taylor]: Taking taylor expansion of 1.0 in k 1.411 * [taylor]: Taking taylor expansion of (log n) in k 1.411 * [taylor]: Taking taylor expansion of n in k 1.418 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.418 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.418 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.418 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.418 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.418 * [taylor]: Taking taylor expansion of 0.5 in k 1.418 * [taylor]: Taking taylor expansion of k in k 1.418 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.418 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.418 * [taylor]: Taking taylor expansion of 2.0 in k 1.418 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.418 * [taylor]: Taking taylor expansion of PI in k 1.418 * [taylor]: Taking taylor expansion of n in k 1.418 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.418 * [taylor]: Taking taylor expansion of 1.0 in n 1.418 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.419 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.419 * [taylor]: Taking taylor expansion of k in n 1.419 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.419 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.419 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.419 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.419 * [taylor]: Taking taylor expansion of 0.5 in n 1.419 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.419 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.419 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.419 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.419 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.419 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.419 * [taylor]: Taking taylor expansion of 1.0 in n 1.419 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.419 * [taylor]: Taking taylor expansion of 2.0 in n 1.421 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.421 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.421 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.421 * [taylor]: Taking taylor expansion of 1.0 in n 1.421 * [taylor]: Taking taylor expansion of (log PI) in n 1.421 * [taylor]: Taking taylor expansion of PI in n 1.423 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.423 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.423 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.423 * [taylor]: Taking taylor expansion of 1.0 in n 1.423 * [taylor]: Taking taylor expansion of (log n) in n 1.423 * [taylor]: Taking taylor expansion of n in n 1.430 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.430 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.430 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.430 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.430 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.430 * [taylor]: Taking taylor expansion of 0.5 in n 1.430 * [taylor]: Taking taylor expansion of k in n 1.430 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.430 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.430 * [taylor]: Taking taylor expansion of 2.0 in n 1.430 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.431 * [taylor]: Taking taylor expansion of PI in n 1.431 * [taylor]: Taking taylor expansion of n in n 1.435 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.435 * [taylor]: Taking taylor expansion of 1.0 in n 1.435 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.435 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.435 * [taylor]: Taking taylor expansion of k in n 1.436 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.436 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.436 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.436 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.436 * [taylor]: Taking taylor expansion of 0.5 in n 1.436 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.436 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.436 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.436 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.436 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.436 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.436 * [taylor]: Taking taylor expansion of 1.0 in n 1.436 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.436 * [taylor]: Taking taylor expansion of 2.0 in n 1.438 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.438 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.438 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.438 * [taylor]: Taking taylor expansion of 1.0 in n 1.438 * [taylor]: Taking taylor expansion of (log PI) in n 1.438 * [taylor]: Taking taylor expansion of PI in n 1.439 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.440 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.440 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.440 * [taylor]: Taking taylor expansion of 1.0 in n 1.440 * [taylor]: Taking taylor expansion of (log n) in n 1.440 * [taylor]: Taking taylor expansion of n in n 1.447 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.447 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.447 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.447 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.447 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.447 * [taylor]: Taking taylor expansion of 0.5 in n 1.447 * [taylor]: Taking taylor expansion of k in n 1.447 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.447 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.447 * [taylor]: Taking taylor expansion of 2.0 in n 1.447 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.447 * [taylor]: Taking taylor expansion of PI in n 1.447 * [taylor]: Taking taylor expansion of n in n 1.463 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 1.463 * [taylor]: Taking taylor expansion of 1.0 in k 1.463 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 1.463 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.463 * [taylor]: Taking taylor expansion of k in k 1.464 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 1.464 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 1.464 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 1.464 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 1.464 * [taylor]: Taking taylor expansion of 0.5 in k 1.464 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 1.464 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 1.464 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.464 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.464 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.464 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.464 * [taylor]: Taking taylor expansion of 1.0 in k 1.464 * [taylor]: Taking taylor expansion of (log PI) in k 1.464 * [taylor]: Taking taylor expansion of PI in k 1.466 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.466 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.466 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.466 * [taylor]: Taking taylor expansion of 1.0 in k 1.466 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.466 * [taylor]: Taking taylor expansion of 2.0 in k 1.468 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.468 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.468 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.468 * [taylor]: Taking taylor expansion of 1.0 in k 1.468 * [taylor]: Taking taylor expansion of (log n) in k 1.468 * [taylor]: Taking taylor expansion of n in k 1.475 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.475 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.475 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.475 * [taylor]: Taking taylor expansion of 0.5 in k 1.475 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.475 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.475 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.475 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.475 * [taylor]: Taking taylor expansion of 2.0 in k 1.475 * [taylor]: Taking taylor expansion of PI in k 1.476 * [taylor]: Taking taylor expansion of (log n) in k 1.476 * [taylor]: Taking taylor expansion of n in k 1.476 * [taylor]: Taking taylor expansion of k in k 1.509 * [taylor]: Taking taylor expansion of 0 in k 1.572 * [taylor]: Taking taylor expansion of 0 in k 1.657 * [taylor]: Taking taylor expansion of 0 in k 1.710 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 1.710 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 1.710 * [taylor]: Taking taylor expansion of 1.0 in k 1.710 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 1.710 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 1.710 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 1.710 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.711 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.711 * [taylor]: Taking taylor expansion of -1 in k 1.711 * [taylor]: Taking taylor expansion of k in k 1.712 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.712 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.712 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.712 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.712 * [taylor]: Taking taylor expansion of -0.5 in k 1.712 * [taylor]: Taking taylor expansion of k in k 1.712 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.712 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.712 * [taylor]: Taking taylor expansion of -2.0 in k 1.712 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.712 * [taylor]: Taking taylor expansion of PI in k 1.712 * [taylor]: Taking taylor expansion of n in k 1.713 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.713 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.713 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.713 * [taylor]: Taking taylor expansion of 0.5 in k 1.713 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.713 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.713 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.713 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.713 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.713 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.713 * [taylor]: Taking taylor expansion of 1.0 in k 1.713 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.713 * [taylor]: Taking taylor expansion of -2.0 in k 1.715 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.715 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.715 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.715 * [taylor]: Taking taylor expansion of 1.0 in k 1.715 * [taylor]: Taking taylor expansion of (log PI) in k 1.715 * [taylor]: Taking taylor expansion of PI in k 1.723 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.723 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.723 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.723 * [taylor]: Taking taylor expansion of 1.0 in k 1.723 * [taylor]: Taking taylor expansion of (log n) in k 1.723 * [taylor]: Taking taylor expansion of n in k 1.730 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 1.730 * [taylor]: Taking taylor expansion of 1.0 in n 1.730 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.730 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.730 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.730 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.730 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.730 * [taylor]: Taking taylor expansion of -1 in n 1.730 * [taylor]: Taking taylor expansion of k in n 1.730 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.730 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.730 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.730 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.730 * [taylor]: Taking taylor expansion of -0.5 in n 1.730 * [taylor]: Taking taylor expansion of k in n 1.730 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.730 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.730 * [taylor]: Taking taylor expansion of -2.0 in n 1.730 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.730 * [taylor]: Taking taylor expansion of PI in n 1.730 * [taylor]: Taking taylor expansion of n in n 1.735 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.735 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.735 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.735 * [taylor]: Taking taylor expansion of 0.5 in n 1.735 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.736 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.736 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.736 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.736 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.736 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.736 * [taylor]: Taking taylor expansion of 1.0 in n 1.736 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.736 * [taylor]: Taking taylor expansion of -2.0 in n 1.738 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.738 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.738 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.738 * [taylor]: Taking taylor expansion of 1.0 in n 1.738 * [taylor]: Taking taylor expansion of (log PI) in n 1.738 * [taylor]: Taking taylor expansion of PI in n 1.739 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.740 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.740 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.740 * [taylor]: Taking taylor expansion of 1.0 in n 1.740 * [taylor]: Taking taylor expansion of (log n) in n 1.740 * [taylor]: Taking taylor expansion of n in n 1.747 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 1.747 * [taylor]: Taking taylor expansion of 1.0 in n 1.747 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.747 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.747 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.747 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.747 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.747 * [taylor]: Taking taylor expansion of -1 in n 1.747 * [taylor]: Taking taylor expansion of k in n 1.747 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.747 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.747 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.747 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.747 * [taylor]: Taking taylor expansion of -0.5 in n 1.747 * [taylor]: Taking taylor expansion of k in n 1.747 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.747 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.747 * [taylor]: Taking taylor expansion of -2.0 in n 1.747 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.747 * [taylor]: Taking taylor expansion of PI in n 1.747 * [taylor]: Taking taylor expansion of n in n 1.752 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.752 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.752 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.752 * [taylor]: Taking taylor expansion of 0.5 in n 1.752 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.752 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.752 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.752 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.752 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.752 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.752 * [taylor]: Taking taylor expansion of 1.0 in n 1.752 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.752 * [taylor]: Taking taylor expansion of -2.0 in n 1.754 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.754 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.754 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.754 * [taylor]: Taking taylor expansion of 1.0 in n 1.754 * [taylor]: Taking taylor expansion of (log PI) in n 1.754 * [taylor]: Taking taylor expansion of PI in n 1.756 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.756 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.756 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.756 * [taylor]: Taking taylor expansion of 1.0 in n 1.756 * [taylor]: Taking taylor expansion of (log n) in n 1.756 * [taylor]: Taking taylor expansion of n in n 1.767 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 1.767 * [taylor]: Taking taylor expansion of 1.0 in k 1.767 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 1.768 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1.768 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1.768 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.768 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.768 * [taylor]: Taking taylor expansion of -0.5 in k 1.768 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.768 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.768 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.768 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.768 * [taylor]: Taking taylor expansion of -2.0 in k 1.768 * [taylor]: Taking taylor expansion of PI in k 1.769 * [taylor]: Taking taylor expansion of (log n) in k 1.769 * [taylor]: Taking taylor expansion of n in k 1.769 * [taylor]: Taking taylor expansion of k in k 1.771 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.772 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.772 * [taylor]: Taking taylor expansion of -1 in k 1.772 * [taylor]: Taking taylor expansion of k in k 1.775 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.775 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.775 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.775 * [taylor]: Taking taylor expansion of 0.5 in k 1.775 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.775 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.776 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.776 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.776 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.776 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.776 * [taylor]: Taking taylor expansion of 1.0 in k 1.776 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.776 * [taylor]: Taking taylor expansion of -2.0 in k 1.777 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.778 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.778 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.778 * [taylor]: Taking taylor expansion of 1.0 in k 1.778 * [taylor]: Taking taylor expansion of (log PI) in k 1.778 * [taylor]: Taking taylor expansion of PI in k 1.779 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.779 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.779 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.779 * [taylor]: Taking taylor expansion of 1.0 in k 1.779 * [taylor]: Taking taylor expansion of (log n) in k 1.780 * [taylor]: Taking taylor expansion of n in k 1.823 * [taylor]: Taking taylor expansion of 0 in k 1.884 * [taylor]: Taking taylor expansion of 0 in k 1.937 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.938 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.938 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.938 * [taylor]: Taking taylor expansion of 2.0 in n 1.938 * [taylor]: Taking taylor expansion of (* n PI) in n 1.938 * [taylor]: Taking taylor expansion of n in n 1.938 * [taylor]: Taking taylor expansion of PI in n 1.938 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.938 * [taylor]: Taking taylor expansion of 2.0 in n 1.938 * [taylor]: Taking taylor expansion of (* n PI) in n 1.938 * [taylor]: Taking taylor expansion of n in n 1.938 * [taylor]: Taking taylor expansion of PI in n 1.950 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.950 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.950 * [taylor]: Taking taylor expansion of 2.0 in n 1.950 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.950 * [taylor]: Taking taylor expansion of PI in n 1.950 * [taylor]: Taking taylor expansion of n in n 1.951 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.951 * [taylor]: Taking taylor expansion of 2.0 in n 1.951 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.951 * [taylor]: Taking taylor expansion of PI in n 1.951 * [taylor]: Taking taylor expansion of n in n 1.960 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.960 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.960 * [taylor]: Taking taylor expansion of -2.0 in n 1.960 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.960 * [taylor]: Taking taylor expansion of PI in n 1.960 * [taylor]: Taking taylor expansion of n in n 1.960 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.960 * [taylor]: Taking taylor expansion of -2.0 in n 1.960 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.960 * [taylor]: Taking taylor expansion of PI in n 1.960 * [taylor]: Taking taylor expansion of n in n 1.969 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.970 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.970 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.970 * [taylor]: Taking taylor expansion of 2.0 in n 1.970 * [taylor]: Taking taylor expansion of (* n PI) in n 1.970 * [taylor]: Taking taylor expansion of n in n 1.970 * [taylor]: Taking taylor expansion of PI in n 1.970 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.970 * [taylor]: Taking taylor expansion of 2.0 in n 1.970 * [taylor]: Taking taylor expansion of (* n PI) in n 1.970 * [taylor]: Taking taylor expansion of n in n 1.970 * [taylor]: Taking taylor expansion of PI in n 1.983 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.983 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.983 * [taylor]: Taking taylor expansion of 2.0 in n 1.983 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.983 * [taylor]: Taking taylor expansion of PI in n 1.983 * [taylor]: Taking taylor expansion of n in n 1.983 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.983 * [taylor]: Taking taylor expansion of 2.0 in n 1.983 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.983 * [taylor]: Taking taylor expansion of PI in n 1.983 * [taylor]: Taking taylor expansion of n in n 1.999 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.999 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.999 * [taylor]: Taking taylor expansion of -2.0 in n 1.999 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.999 * [taylor]: Taking taylor expansion of PI in n 1.999 * [taylor]: Taking taylor expansion of n in n 1.999 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.999 * [taylor]: Taking taylor expansion of -2.0 in n 1.999 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.999 * [taylor]: Taking taylor expansion of PI in n 1.999 * [taylor]: Taking taylor expansion of n in n 2.008 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.009 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.009 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.009 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.009 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.009 * [taylor]: Taking taylor expansion of 0.5 in n 2.009 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.009 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.009 * [taylor]: Taking taylor expansion of 2.0 in n 2.009 * [taylor]: Taking taylor expansion of (* n PI) in n 2.009 * [taylor]: Taking taylor expansion of n in n 2.009 * [taylor]: Taking taylor expansion of PI in n 2.014 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.014 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.014 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.014 * [taylor]: Taking taylor expansion of 0.5 in n 2.014 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.014 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.014 * [taylor]: Taking taylor expansion of 2.0 in n 2.014 * [taylor]: Taking taylor expansion of (* n PI) in n 2.014 * [taylor]: Taking taylor expansion of n in n 2.014 * [taylor]: Taking taylor expansion of PI in n 2.099 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.100 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.100 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.100 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.100 * [taylor]: Taking taylor expansion of 0.5 in n 2.100 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.100 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.100 * [taylor]: Taking taylor expansion of 2.0 in n 2.100 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.100 * [taylor]: Taking taylor expansion of PI in n 2.100 * [taylor]: Taking taylor expansion of n in n 2.103 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.103 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.103 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.103 * [taylor]: Taking taylor expansion of 0.5 in n 2.103 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.103 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.103 * [taylor]: Taking taylor expansion of 2.0 in n 2.103 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.103 * [taylor]: Taking taylor expansion of PI in n 2.103 * [taylor]: Taking taylor expansion of n in n 2.184 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 2.184 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.184 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.184 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.184 * [taylor]: Taking taylor expansion of 0.5 in n 2.184 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.185 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.185 * [taylor]: Taking taylor expansion of -2.0 in n 2.185 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.185 * [taylor]: Taking taylor expansion of PI in n 2.185 * [taylor]: Taking taylor expansion of n in n 2.188 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.188 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.188 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.188 * [taylor]: Taking taylor expansion of 0.5 in n 2.188 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.188 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.188 * [taylor]: Taking taylor expansion of -2.0 in n 2.188 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.188 * [taylor]: Taking taylor expansion of PI in n 2.188 * [taylor]: Taking taylor expansion of n in n 2.268 * * * [progress]: simplifying candidates 2.270 * [simplify]: Simplifying using # : (- (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (- 1.0) (- (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (- 1.0) (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (- 1.0) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0))) (/ (- 1.0) (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* 2.0 n) (/ k 2.0))) (/ (- 1.0) (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0))) (/ (- 1.0) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (/ (- 1.0) -1) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (- (sqrt k))) (/ (* (- 1.0) (pow (* 2.0 PI) (/ 1.0 2.0))) (- (sqrt k))) (/ (pow n (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (* (- 1.0) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (* (- 1.0) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (pow n (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0))) (/ (* (- 1.0) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (pow n (/ 1.0 2.0)) (pow (* 2.0 n) (/ k 2.0))) (/ (* (- 1.0) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ (pow n (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0))) (/ (* (- 1.0) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (pow n (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (/ (* (- 1.0) (pow (* 2.0 PI) (/ 1.0 2.0))) -1) (/ (pow n (/ 1.0 2.0)) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (- 1.0) (pow (* 2.0 PI) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (pow n (/ 1.0 2.0)) (- (sqrt k))) (/ (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (- (sqrt k))) (/ (pow (* PI n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (pow (* PI n) (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (pow (* PI n) (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0))) (/ (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (pow (* PI n) (/ 1.0 2.0)) (pow (* 2.0 n) (/ k 2.0))) (/ (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ (pow (* PI n) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0))) (/ (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (pow (* PI n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (/ (* (- 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2.0))) (/ (* (- 1.0) (pow n (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (* (- 1.0) (pow n (/ 1.0 2.0))) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0))) (/ (* (- 1.0) (pow n (/ 1.0 2.0))) (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 n) (/ k 2.0))) (/ (* (- 1.0) (pow n (/ 1.0 2.0))) (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0))) (/ (* (- 1.0) (pow n (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (/ (* (- 1.0) (pow n (/ 1.0 2.0))) -1) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (- 1.0) (pow n (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (- (sqrt k))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (- (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow n (/ k 2.0))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* PI n) (/ k 2.0))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* 2.0 n) (/ k 2.0))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* 2.0 PI) (/ k 2.0))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) -1) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (- (sqrt k))) (/ -1 (- (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ -1 (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow n (/ k 2.0))) (/ -1 (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* PI n) (/ k 2.0))) (/ -1 (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* 2.0 n) (/ k 2.0))) (/ -1 (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* 2.0 PI) (/ k 2.0))) (/ -1 (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) 1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ -1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (- (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (- (sqrt k))) (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (- 1.0) (pow n (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (- 1.0) (pow (* PI n) (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (- 1.0) (pow (* 2.0 n) (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ (- 1.0) (pow (* 2.0 PI) (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (- 1.0) (- (sqrt k))) (/ 1 (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (- (sqrt k))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) -1) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow n (/ 1.0 2.0))) (/ (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* PI n) (/ 1.0 2.0))) (/ (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* 2.0 n) (/ 1.0 2.0))) (/ (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* 2.0 PI) (/ 1.0 2.0))) (/ (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- 1.0)) (* PI n) (* 2.0 n) (* PI n) (* 2.0 n) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (pow 2.0 (/ 1.0 2.0)) (pow (* PI n) (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)) (pow (* 2.0 n) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))))) (- (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (+ (* +nan.0 (+ (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (/ (- (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (- (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (pow (* 2.0 (* n PI)) 0.5) (pow (* 2.0 (* n PI)) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 2.360 * * * [progress]: adding candidates to table 2.798 * * [progress]: iteration 3 / 4 2.798 * * * [progress]: picking best candidate 2.816 * * * * [pick]: Picked # 2.816 * * * [progress]: localizing error 2.837 * * * [progress]: generating rewritten candidates 2.837 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.849 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 2.853 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 2.856 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.864 * * * [progress]: generating series expansions 2.864 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.866 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 2.866 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 2.866 * [taylor]: Taking taylor expansion of 1.0 in k 2.866 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 2.866 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.866 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.866 * [taylor]: Taking taylor expansion of k in k 2.867 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 2.867 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 2.867 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 2.867 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 2.867 * [taylor]: Taking taylor expansion of 0.5 in k 2.867 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 2.867 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 2.867 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.867 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.867 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.867 * [taylor]: Taking taylor expansion of 1.0 in k 2.867 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.867 * [taylor]: Taking taylor expansion of 2.0 in k 2.869 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 2.869 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.869 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.869 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.869 * [taylor]: Taking taylor expansion of 1.0 in k 2.869 * [taylor]: Taking taylor expansion of (log n) in k 2.869 * [taylor]: Taking taylor expansion of n in k 2.869 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.869 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.870 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.870 * [taylor]: Taking taylor expansion of 1.0 in k 2.870 * [taylor]: Taking taylor expansion of (log PI) in k 2.870 * [taylor]: Taking taylor expansion of PI in k 2.875 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 2.875 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 2.875 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 2.875 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 2.875 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 2.875 * [taylor]: Taking taylor expansion of 0.5 in k 2.875 * [taylor]: Taking taylor expansion of k in k 2.875 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.875 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.875 * [taylor]: Taking taylor expansion of 2.0 in k 2.875 * [taylor]: Taking taylor expansion of (* n PI) in k 2.875 * [taylor]: Taking taylor expansion of n in k 2.875 * [taylor]: Taking taylor expansion of PI in k 2.878 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 2.878 * [taylor]: Taking taylor expansion of 1.0 in n 2.878 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 2.878 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.878 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.878 * [taylor]: Taking taylor expansion of k in n 2.878 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 2.878 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.879 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.879 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.879 * [taylor]: Taking taylor expansion of 0.5 in n 2.879 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.879 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.879 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.879 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.879 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.879 * [taylor]: Taking taylor expansion of 1.0 in n 2.879 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.879 * [taylor]: Taking taylor expansion of 2.0 in n 2.880 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.880 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.880 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.881 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.881 * [taylor]: Taking taylor expansion of 1.0 in n 2.881 * [taylor]: Taking taylor expansion of (log n) in n 2.881 * [taylor]: Taking taylor expansion of n in n 2.881 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.881 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.881 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.881 * [taylor]: Taking taylor expansion of 1.0 in n 2.881 * [taylor]: Taking taylor expansion of (log PI) in n 2.881 * [taylor]: Taking taylor expansion of PI in n 2.887 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 2.887 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.887 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.887 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.887 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.887 * [taylor]: Taking taylor expansion of 0.5 in n 2.887 * [taylor]: Taking taylor expansion of k in n 2.887 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.887 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.887 * [taylor]: Taking taylor expansion of 2.0 in n 2.887 * [taylor]: Taking taylor expansion of (* n PI) in n 2.887 * [taylor]: Taking taylor expansion of n in n 2.887 * [taylor]: Taking taylor expansion of PI in n 2.893 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 2.893 * [taylor]: Taking taylor expansion of 1.0 in n 2.893 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 2.893 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.893 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.893 * [taylor]: Taking taylor expansion of k in n 2.893 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 2.893 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.893 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.893 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.893 * [taylor]: Taking taylor expansion of 0.5 in n 2.893 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.894 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.894 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.894 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.894 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.894 * [taylor]: Taking taylor expansion of 1.0 in n 2.894 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.894 * [taylor]: Taking taylor expansion of 2.0 in n 2.895 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.895 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.895 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.895 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.896 * [taylor]: Taking taylor expansion of 1.0 in n 2.896 * [taylor]: Taking taylor expansion of (log n) in n 2.896 * [taylor]: Taking taylor expansion of n in n 2.896 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.896 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.896 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.896 * [taylor]: Taking taylor expansion of 1.0 in n 2.896 * [taylor]: Taking taylor expansion of (log PI) in n 2.896 * [taylor]: Taking taylor expansion of PI in n 2.902 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 2.902 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.902 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.902 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.902 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.902 * [taylor]: Taking taylor expansion of 0.5 in n 2.902 * [taylor]: Taking taylor expansion of k in n 2.902 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.902 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.902 * [taylor]: Taking taylor expansion of 2.0 in n 2.902 * [taylor]: Taking taylor expansion of (* n PI) in n 2.902 * [taylor]: Taking taylor expansion of n in n 2.902 * [taylor]: Taking taylor expansion of PI in n 2.917 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 2.917 * [taylor]: Taking taylor expansion of 1.0 in k 2.917 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 2.917 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.917 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.917 * [taylor]: Taking taylor expansion of k in k 2.919 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 2.919 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 2.919 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 2.919 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 2.919 * [taylor]: Taking taylor expansion of 0.5 in k 2.919 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 2.919 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 2.919 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.919 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.919 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.919 * [taylor]: Taking taylor expansion of 1.0 in k 2.919 * [taylor]: Taking taylor expansion of (log PI) in k 2.919 * [taylor]: Taking taylor expansion of PI in k 2.921 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 2.921 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.921 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.921 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.921 * [taylor]: Taking taylor expansion of 1.0 in k 2.921 * [taylor]: Taking taylor expansion of (log n) in k 2.921 * [taylor]: Taking taylor expansion of n in k 2.921 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.921 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.921 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.921 * [taylor]: Taking taylor expansion of 1.0 in k 2.921 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.921 * [taylor]: Taking taylor expansion of 2.0 in k 2.927 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 2.927 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 2.927 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 2.927 * [taylor]: Taking taylor expansion of 0.5 in k 2.927 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 2.927 * [taylor]: Taking taylor expansion of k in k 2.927 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.927 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.927 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.927 * [taylor]: Taking taylor expansion of 2.0 in k 2.927 * [taylor]: Taking taylor expansion of PI in k 2.928 * [taylor]: Taking taylor expansion of (log n) in k 2.928 * [taylor]: Taking taylor expansion of n in k 2.959 * [taylor]: Taking taylor expansion of 0 in k 3.016 * [taylor]: Taking taylor expansion of 0 in k 3.114 * [taylor]: Taking taylor expansion of 0 in k 3.230 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 3.231 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 3.231 * [taylor]: Taking taylor expansion of 1.0 in k 3.231 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 3.231 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.231 * [taylor]: Taking taylor expansion of k in k 3.232 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 3.232 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.232 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.232 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.232 * [taylor]: Taking taylor expansion of 0.5 in k 3.232 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.232 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.232 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 3.232 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.232 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.232 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.232 * [taylor]: Taking taylor expansion of 1.0 in k 3.232 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.232 * [taylor]: Taking taylor expansion of 2.0 in k 3.234 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.234 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.234 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.234 * [taylor]: Taking taylor expansion of 1.0 in k 3.234 * [taylor]: Taking taylor expansion of (log PI) in k 3.234 * [taylor]: Taking taylor expansion of PI in k 3.236 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.236 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.236 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.236 * [taylor]: Taking taylor expansion of 1.0 in k 3.236 * [taylor]: Taking taylor expansion of (log n) in k 3.236 * [taylor]: Taking taylor expansion of n in k 3.242 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.242 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.242 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.242 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.242 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.242 * [taylor]: Taking taylor expansion of 0.5 in k 3.242 * [taylor]: Taking taylor expansion of k in k 3.243 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.243 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.243 * [taylor]: Taking taylor expansion of 2.0 in k 3.243 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.243 * [taylor]: Taking taylor expansion of PI in k 3.243 * [taylor]: Taking taylor expansion of n in k 3.243 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 3.243 * [taylor]: Taking taylor expansion of 1.0 in n 3.243 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 3.243 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.243 * [taylor]: Taking taylor expansion of k in n 3.243 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 3.243 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.243 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.243 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.243 * [taylor]: Taking taylor expansion of 0.5 in n 3.243 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.243 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.243 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.243 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.243 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.243 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.243 * [taylor]: Taking taylor expansion of 1.0 in n 3.243 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.243 * [taylor]: Taking taylor expansion of 2.0 in n 3.245 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.245 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.245 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.245 * [taylor]: Taking taylor expansion of 1.0 in n 3.245 * [taylor]: Taking taylor expansion of (log PI) in n 3.245 * [taylor]: Taking taylor expansion of PI in n 3.247 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.247 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.247 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.247 * [taylor]: Taking taylor expansion of 1.0 in n 3.247 * [taylor]: Taking taylor expansion of (log n) in n 3.247 * [taylor]: Taking taylor expansion of n in n 3.254 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.254 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.254 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.254 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.254 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.255 * [taylor]: Taking taylor expansion of 0.5 in n 3.255 * [taylor]: Taking taylor expansion of k in n 3.255 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.255 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.255 * [taylor]: Taking taylor expansion of 2.0 in n 3.255 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.255 * [taylor]: Taking taylor expansion of PI in n 3.255 * [taylor]: Taking taylor expansion of n in n 3.264 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 3.264 * [taylor]: Taking taylor expansion of 1.0 in n 3.264 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 3.264 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.264 * [taylor]: Taking taylor expansion of k in n 3.264 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 3.265 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.265 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.265 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.265 * [taylor]: Taking taylor expansion of 0.5 in n 3.265 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.265 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.265 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.265 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.265 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.265 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.265 * [taylor]: Taking taylor expansion of 1.0 in n 3.265 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.265 * [taylor]: Taking taylor expansion of 2.0 in n 3.266 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.267 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.267 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.267 * [taylor]: Taking taylor expansion of 1.0 in n 3.267 * [taylor]: Taking taylor expansion of (log PI) in n 3.267 * [taylor]: Taking taylor expansion of PI in n 3.268 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.268 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.269 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.269 * [taylor]: Taking taylor expansion of 1.0 in n 3.269 * [taylor]: Taking taylor expansion of (log n) in n 3.269 * [taylor]: Taking taylor expansion of n in n 3.275 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.276 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.276 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.276 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.276 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.276 * [taylor]: Taking taylor expansion of 0.5 in n 3.276 * [taylor]: Taking taylor expansion of k in n 3.276 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.276 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.276 * [taylor]: Taking taylor expansion of 2.0 in n 3.276 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.276 * [taylor]: Taking taylor expansion of PI in n 3.276 * [taylor]: Taking taylor expansion of n in n 3.286 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 3.286 * [taylor]: Taking taylor expansion of 1.0 in k 3.286 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 3.286 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.286 * [taylor]: Taking taylor expansion of k in k 3.287 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 3.287 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 3.287 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 3.287 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 3.287 * [taylor]: Taking taylor expansion of 0.5 in k 3.288 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 3.288 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 3.288 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 3.288 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.288 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.288 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.288 * [taylor]: Taking taylor expansion of 1.0 in k 3.288 * [taylor]: Taking taylor expansion of (log PI) in k 3.288 * [taylor]: Taking taylor expansion of PI in k 3.290 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.290 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.290 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.290 * [taylor]: Taking taylor expansion of 1.0 in k 3.290 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.290 * [taylor]: Taking taylor expansion of 2.0 in k 3.291 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.291 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.291 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.291 * [taylor]: Taking taylor expansion of 1.0 in k 3.291 * [taylor]: Taking taylor expansion of (log n) in k 3.291 * [taylor]: Taking taylor expansion of n in k 3.298 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 3.298 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 3.298 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 3.298 * [taylor]: Taking taylor expansion of 0.5 in k 3.298 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 3.298 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.298 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.298 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.299 * [taylor]: Taking taylor expansion of 2.0 in k 3.299 * [taylor]: Taking taylor expansion of PI in k 3.299 * [taylor]: Taking taylor expansion of (log n) in k 3.300 * [taylor]: Taking taylor expansion of n in k 3.300 * [taylor]: Taking taylor expansion of k in k 3.333 * [taylor]: Taking taylor expansion of 0 in k 3.395 * [taylor]: Taking taylor expansion of 0 in k 3.479 * [taylor]: Taking taylor expansion of 0 in k 3.538 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 3.538 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 3.538 * [taylor]: Taking taylor expansion of 1.0 in k 3.538 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 3.538 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 3.538 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.538 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.538 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.538 * [taylor]: Taking taylor expansion of -1 in k 3.538 * [taylor]: Taking taylor expansion of k in k 3.539 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.539 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.539 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.539 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.539 * [taylor]: Taking taylor expansion of -0.5 in k 3.539 * [taylor]: Taking taylor expansion of k in k 3.540 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.540 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.540 * [taylor]: Taking taylor expansion of -2.0 in k 3.540 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.540 * [taylor]: Taking taylor expansion of PI in k 3.540 * [taylor]: Taking taylor expansion of n in k 3.540 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.541 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.541 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.541 * [taylor]: Taking taylor expansion of 0.5 in k 3.541 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.541 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.541 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.541 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.541 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.541 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.541 * [taylor]: Taking taylor expansion of 1.0 in k 3.541 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.541 * [taylor]: Taking taylor expansion of -2.0 in k 3.542 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.542 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.543 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.543 * [taylor]: Taking taylor expansion of 1.0 in k 3.543 * [taylor]: Taking taylor expansion of (log PI) in k 3.543 * [taylor]: Taking taylor expansion of PI in k 3.544 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.544 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.544 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.544 * [taylor]: Taking taylor expansion of 1.0 in k 3.544 * [taylor]: Taking taylor expansion of (log n) in k 3.544 * [taylor]: Taking taylor expansion of n in k 3.551 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.551 * [taylor]: Taking taylor expansion of 1.0 in n 3.551 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.551 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 3.551 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.551 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.551 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.551 * [taylor]: Taking taylor expansion of -1 in n 3.551 * [taylor]: Taking taylor expansion of k in n 3.551 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.551 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.551 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.551 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.551 * [taylor]: Taking taylor expansion of -0.5 in n 3.551 * [taylor]: Taking taylor expansion of k in n 3.551 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.551 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.551 * [taylor]: Taking taylor expansion of -2.0 in n 3.551 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.551 * [taylor]: Taking taylor expansion of PI in n 3.551 * [taylor]: Taking taylor expansion of n in n 3.556 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.556 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.557 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.557 * [taylor]: Taking taylor expansion of 0.5 in n 3.557 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.557 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.557 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.557 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.557 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.557 * [taylor]: Taking taylor expansion of 1.0 in n 3.557 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.557 * [taylor]: Taking taylor expansion of -2.0 in n 3.558 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.558 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.558 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.558 * [taylor]: Taking taylor expansion of 1.0 in n 3.559 * [taylor]: Taking taylor expansion of (log PI) in n 3.559 * [taylor]: Taking taylor expansion of PI in n 3.560 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.560 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.560 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.560 * [taylor]: Taking taylor expansion of 1.0 in n 3.560 * [taylor]: Taking taylor expansion of (log n) in n 3.560 * [taylor]: Taking taylor expansion of n in n 3.567 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.567 * [taylor]: Taking taylor expansion of 1.0 in n 3.567 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.567 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 3.567 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.567 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.567 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.568 * [taylor]: Taking taylor expansion of -1 in n 3.568 * [taylor]: Taking taylor expansion of k in n 3.568 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.568 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.568 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.568 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.568 * [taylor]: Taking taylor expansion of -0.5 in n 3.568 * [taylor]: Taking taylor expansion of k in n 3.568 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.568 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.568 * [taylor]: Taking taylor expansion of -2.0 in n 3.568 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.568 * [taylor]: Taking taylor expansion of PI in n 3.568 * [taylor]: Taking taylor expansion of n in n 3.573 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.573 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.573 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.573 * [taylor]: Taking taylor expansion of 0.5 in n 3.573 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.573 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.573 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.573 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.573 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.573 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.573 * [taylor]: Taking taylor expansion of 1.0 in n 3.573 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.573 * [taylor]: Taking taylor expansion of -2.0 in n 3.575 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.575 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.575 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.575 * [taylor]: Taking taylor expansion of 1.0 in n 3.575 * [taylor]: Taking taylor expansion of (log PI) in n 3.575 * [taylor]: Taking taylor expansion of PI in n 3.577 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.577 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.577 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.577 * [taylor]: Taking taylor expansion of 1.0 in n 3.577 * [taylor]: Taking taylor expansion of (log n) in n 3.577 * [taylor]: Taking taylor expansion of n in n 3.588 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 3.588 * [taylor]: Taking taylor expansion of 1.0 in k 3.588 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 3.588 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 3.588 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 3.588 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 3.588 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 3.588 * [taylor]: Taking taylor expansion of -0.5 in k 3.588 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 3.588 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.588 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.588 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.588 * [taylor]: Taking taylor expansion of -2.0 in k 3.588 * [taylor]: Taking taylor expansion of PI in k 3.589 * [taylor]: Taking taylor expansion of (log n) in k 3.589 * [taylor]: Taking taylor expansion of n in k 3.589 * [taylor]: Taking taylor expansion of k in k 3.592 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.592 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.592 * [taylor]: Taking taylor expansion of -1 in k 3.592 * [taylor]: Taking taylor expansion of k in k 3.596 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.596 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.596 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.596 * [taylor]: Taking taylor expansion of 0.5 in k 3.596 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.596 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.596 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.596 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.596 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.596 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.596 * [taylor]: Taking taylor expansion of 1.0 in k 3.596 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.596 * [taylor]: Taking taylor expansion of -2.0 in k 3.598 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.598 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.598 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.598 * [taylor]: Taking taylor expansion of 1.0 in k 3.598 * [taylor]: Taking taylor expansion of (log PI) in k 3.598 * [taylor]: Taking taylor expansion of PI in k 3.600 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.600 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.600 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.600 * [taylor]: Taking taylor expansion of 1.0 in k 3.600 * [taylor]: Taking taylor expansion of (log n) in k 3.600 * [taylor]: Taking taylor expansion of n in k 3.643 * [taylor]: Taking taylor expansion of 0 in k 3.711 * [taylor]: Taking taylor expansion of 0 in k 3.757 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 3.758 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.758 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.758 * [taylor]: Taking taylor expansion of 2.0 in n 3.758 * [taylor]: Taking taylor expansion of (* n PI) in n 3.758 * [taylor]: Taking taylor expansion of n in n 3.758 * [taylor]: Taking taylor expansion of PI in n 3.758 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.758 * [taylor]: Taking taylor expansion of 2.0 in n 3.758 * [taylor]: Taking taylor expansion of (* n PI) in n 3.758 * [taylor]: Taking taylor expansion of n in n 3.758 * [taylor]: Taking taylor expansion of PI in n 3.770 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.770 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.770 * [taylor]: Taking taylor expansion of 2.0 in n 3.770 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.770 * [taylor]: Taking taylor expansion of PI in n 3.770 * [taylor]: Taking taylor expansion of n in n 3.770 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.771 * [taylor]: Taking taylor expansion of 2.0 in n 3.771 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.771 * [taylor]: Taking taylor expansion of PI in n 3.771 * [taylor]: Taking taylor expansion of n in n 3.779 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.779 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.780 * [taylor]: Taking taylor expansion of -2.0 in n 3.780 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.780 * [taylor]: Taking taylor expansion of PI in n 3.780 * [taylor]: Taking taylor expansion of n in n 3.780 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.780 * [taylor]: Taking taylor expansion of -2.0 in n 3.780 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.780 * [taylor]: Taking taylor expansion of PI in n 3.780 * [taylor]: Taking taylor expansion of n in n 3.795 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 3.796 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.796 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.796 * [taylor]: Taking taylor expansion of 2.0 in n 3.796 * [taylor]: Taking taylor expansion of (* n PI) in n 3.796 * [taylor]: Taking taylor expansion of n in n 3.796 * [taylor]: Taking taylor expansion of PI in n 3.796 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.796 * [taylor]: Taking taylor expansion of 2.0 in n 3.796 * [taylor]: Taking taylor expansion of (* n PI) in n 3.796 * [taylor]: Taking taylor expansion of n in n 3.796 * [taylor]: Taking taylor expansion of PI in n 3.808 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.808 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.808 * [taylor]: Taking taylor expansion of 2.0 in n 3.808 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.808 * [taylor]: Taking taylor expansion of PI in n 3.808 * [taylor]: Taking taylor expansion of n in n 3.809 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.809 * [taylor]: Taking taylor expansion of 2.0 in n 3.809 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.809 * [taylor]: Taking taylor expansion of PI in n 3.809 * [taylor]: Taking taylor expansion of n in n 3.818 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.818 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.818 * [taylor]: Taking taylor expansion of -2.0 in n 3.818 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.818 * [taylor]: Taking taylor expansion of PI in n 3.818 * [taylor]: Taking taylor expansion of n in n 3.818 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.818 * [taylor]: Taking taylor expansion of -2.0 in n 3.818 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.818 * [taylor]: Taking taylor expansion of PI in n 3.818 * [taylor]: Taking taylor expansion of n in n 3.827 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.828 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in (k n) around 0 3.828 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 3.828 * [taylor]: Taking taylor expansion of -1 in n 3.828 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 3.828 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.828 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.828 * [taylor]: Taking taylor expansion of k in n 3.828 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.828 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.828 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.828 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.828 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.828 * [taylor]: Taking taylor expansion of 0.5 in n 3.828 * [taylor]: Taking taylor expansion of k in n 3.828 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.828 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.828 * [taylor]: Taking taylor expansion of 2.0 in n 3.828 * [taylor]: Taking taylor expansion of (* n PI) in n 3.828 * [taylor]: Taking taylor expansion of n in n 3.828 * [taylor]: Taking taylor expansion of PI in n 3.835 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 3.835 * [taylor]: Taking taylor expansion of -1 in k 3.835 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 3.835 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.835 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.835 * [taylor]: Taking taylor expansion of k in k 3.836 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.836 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.836 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.836 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.836 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.836 * [taylor]: Taking taylor expansion of 0.5 in k 3.836 * [taylor]: Taking taylor expansion of k in k 3.836 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.836 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.836 * [taylor]: Taking taylor expansion of 2.0 in k 3.836 * [taylor]: Taking taylor expansion of (* n PI) in k 3.836 * [taylor]: Taking taylor expansion of n in k 3.836 * [taylor]: Taking taylor expansion of PI in k 3.839 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 3.839 * [taylor]: Taking taylor expansion of -1 in k 3.839 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 3.839 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.839 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.839 * [taylor]: Taking taylor expansion of k in k 3.841 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.841 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.841 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.841 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.841 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.841 * [taylor]: Taking taylor expansion of 0.5 in k 3.841 * [taylor]: Taking taylor expansion of k in k 3.841 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.841 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.841 * [taylor]: Taking taylor expansion of 2.0 in k 3.841 * [taylor]: Taking taylor expansion of (* n PI) in k 3.841 * [taylor]: Taking taylor expansion of n in k 3.841 * [taylor]: Taking taylor expansion of PI in k 3.844 * [taylor]: Taking taylor expansion of 0 in n 3.846 * [taylor]: Taking taylor expansion of (- +nan.0) in n 3.846 * [taylor]: Taking taylor expansion of +nan.0 in n 3.854 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- +nan.0))) in n 3.854 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- +nan.0)) in n 3.854 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2.0 (* n PI)))) in n 3.854 * [taylor]: Taking taylor expansion of +nan.0 in n 3.854 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.854 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.854 * [taylor]: Taking taylor expansion of 2.0 in n 3.854 * [taylor]: Taking taylor expansion of (* n PI) in n 3.854 * [taylor]: Taking taylor expansion of n in n 3.854 * [taylor]: Taking taylor expansion of PI in n 3.857 * [taylor]: Taking taylor expansion of (- +nan.0) in n 3.857 * [taylor]: Taking taylor expansion of +nan.0 in n 3.879 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- (* +nan.0 (pow (log (* 2.0 (* n PI))) 2))))))) in n 3.879 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- (* +nan.0 (pow (log (* 2.0 (* n PI))) 2)))))) in n 3.879 * [taylor]: Taking taylor expansion of +nan.0 in n 3.879 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- (* +nan.0 (pow (log (* 2.0 (* n PI))) 2))))) in n 3.879 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- (* +nan.0 (pow (log (* 2.0 (* n PI))) 2)))) in n 3.879 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2.0 (* n PI)))) in n 3.879 * [taylor]: Taking taylor expansion of +nan.0 in n 3.879 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.879 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.880 * [taylor]: Taking taylor expansion of 2.0 in n 3.880 * [taylor]: Taking taylor expansion of (* n PI) in n 3.880 * [taylor]: Taking taylor expansion of n in n 3.880 * [taylor]: Taking taylor expansion of PI in n 3.883 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (log (* 2.0 (* n PI))) 2))) in n 3.883 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (log (* 2.0 (* n PI))) 2)) in n 3.883 * [taylor]: Taking taylor expansion of +nan.0 in n 3.883 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.883 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.883 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.883 * [taylor]: Taking taylor expansion of 2.0 in n 3.883 * [taylor]: Taking taylor expansion of (* n PI) in n 3.883 * [taylor]: Taking taylor expansion of n in n 3.883 * [taylor]: Taking taylor expansion of PI in n 3.919 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in (k n) around 0 3.919 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 3.919 * [taylor]: Taking taylor expansion of -1 in n 3.919 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 3.919 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.919 * [taylor]: Taking taylor expansion of k in n 3.920 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.920 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.920 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.920 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.920 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.920 * [taylor]: Taking taylor expansion of 0.5 in n 3.920 * [taylor]: Taking taylor expansion of k in n 3.920 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.920 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.920 * [taylor]: Taking taylor expansion of 2.0 in n 3.920 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.920 * [taylor]: Taking taylor expansion of PI in n 3.920 * [taylor]: Taking taylor expansion of n in n 3.924 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 3.924 * [taylor]: Taking taylor expansion of -1 in k 3.924 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 3.924 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.924 * [taylor]: Taking taylor expansion of k in k 3.925 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.925 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.925 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.925 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.925 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.925 * [taylor]: Taking taylor expansion of 0.5 in k 3.925 * [taylor]: Taking taylor expansion of k in k 3.926 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.926 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.926 * [taylor]: Taking taylor expansion of 2.0 in k 3.926 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.926 * [taylor]: Taking taylor expansion of PI in k 3.926 * [taylor]: Taking taylor expansion of n in k 3.926 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 3.926 * [taylor]: Taking taylor expansion of -1 in k 3.926 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 3.926 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.926 * [taylor]: Taking taylor expansion of k in k 3.927 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.927 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.927 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.927 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.927 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.927 * [taylor]: Taking taylor expansion of 0.5 in k 3.927 * [taylor]: Taking taylor expansion of k in k 3.927 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.927 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.928 * [taylor]: Taking taylor expansion of 2.0 in k 3.928 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.928 * [taylor]: Taking taylor expansion of PI in k 3.928 * [taylor]: Taking taylor expansion of n in k 3.928 * [taylor]: Taking taylor expansion of 0 in n 3.929 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.929 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 3.929 * [taylor]: Taking taylor expansion of +nan.0 in n 3.929 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.929 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.929 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.929 * [taylor]: Taking taylor expansion of 0.5 in n 3.930 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.930 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.930 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.930 * [taylor]: Taking taylor expansion of 2.0 in n 3.930 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.930 * [taylor]: Taking taylor expansion of PI in n 3.930 * [taylor]: Taking taylor expansion of n in n 3.931 * [taylor]: Taking taylor expansion of k in n 3.941 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.941 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 3.941 * [taylor]: Taking taylor expansion of +nan.0 in n 3.941 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.941 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.941 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.941 * [taylor]: Taking taylor expansion of 0.5 in n 3.941 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.941 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.941 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.941 * [taylor]: Taking taylor expansion of 2.0 in n 3.941 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.941 * [taylor]: Taking taylor expansion of PI in n 3.941 * [taylor]: Taking taylor expansion of n in n 3.943 * [taylor]: Taking taylor expansion of k in n 3.967 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.967 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 3.967 * [taylor]: Taking taylor expansion of +nan.0 in n 3.967 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.967 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.967 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.967 * [taylor]: Taking taylor expansion of 0.5 in n 3.967 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.967 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.967 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.967 * [taylor]: Taking taylor expansion of 2.0 in n 3.967 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.967 * [taylor]: Taking taylor expansion of PI in n 3.967 * [taylor]: Taking taylor expansion of n in n 3.968 * [taylor]: Taking taylor expansion of k in n 3.978 * [approximate]: Taking taylor expansion of (/ -1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in (k n) around 0 3.978 * [taylor]: Taking taylor expansion of (/ -1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 3.978 * [taylor]: Taking taylor expansion of -1 in n 3.979 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.979 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.979 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.979 * [taylor]: Taking taylor expansion of -1 in n 3.979 * [taylor]: Taking taylor expansion of k in n 3.979 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.979 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.979 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.979 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.979 * [taylor]: Taking taylor expansion of -0.5 in n 3.979 * [taylor]: Taking taylor expansion of k in n 3.979 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.979 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.979 * [taylor]: Taking taylor expansion of -2.0 in n 3.979 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.979 * [taylor]: Taking taylor expansion of PI in n 3.979 * [taylor]: Taking taylor expansion of n in n 3.984 * [taylor]: Taking taylor expansion of (/ -1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 3.984 * [taylor]: Taking taylor expansion of -1 in k 3.984 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.984 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.984 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.984 * [taylor]: Taking taylor expansion of -1 in k 3.984 * [taylor]: Taking taylor expansion of k in k 3.986 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.986 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.986 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.986 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.986 * [taylor]: Taking taylor expansion of -0.5 in k 3.986 * [taylor]: Taking taylor expansion of k in k 3.986 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.986 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.986 * [taylor]: Taking taylor expansion of -2.0 in k 3.986 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.986 * [taylor]: Taking taylor expansion of PI in k 3.986 * [taylor]: Taking taylor expansion of n in k 3.987 * [taylor]: Taking taylor expansion of (/ -1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 3.987 * [taylor]: Taking taylor expansion of -1 in k 3.987 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.987 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.987 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.987 * [taylor]: Taking taylor expansion of -1 in k 3.987 * [taylor]: Taking taylor expansion of k in k 3.988 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.988 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.988 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.988 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.988 * [taylor]: Taking taylor expansion of -0.5 in k 3.988 * [taylor]: Taking taylor expansion of k in k 3.989 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.989 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.989 * [taylor]: Taking taylor expansion of -2.0 in k 3.989 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.989 * [taylor]: Taking taylor expansion of PI in k 3.989 * [taylor]: Taking taylor expansion of n in k 3.990 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 3.990 * [taylor]: Taking taylor expansion of +nan.0 in n 3.990 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.990 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.990 * [taylor]: Taking taylor expansion of -0.5 in n 3.990 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.990 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.990 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.990 * [taylor]: Taking taylor expansion of -2.0 in n 3.990 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.990 * [taylor]: Taking taylor expansion of PI in n 3.990 * [taylor]: Taking taylor expansion of n in n 3.991 * [taylor]: Taking taylor expansion of k in n 4.000 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))))) in n 4.000 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))))) in n 4.000 * [taylor]: Taking taylor expansion of +nan.0 in n 4.000 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 4.000 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 4.000 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 4.000 * [taylor]: Taking taylor expansion of -0.5 in n 4.000 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 4.000 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.000 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.000 * [taylor]: Taking taylor expansion of -2.0 in n 4.000 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.000 * [taylor]: Taking taylor expansion of PI in n 4.000 * [taylor]: Taking taylor expansion of n in n 4.001 * [taylor]: Taking taylor expansion of k in n 4.019 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))))) in n 4.019 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))))) in n 4.019 * [taylor]: Taking taylor expansion of +nan.0 in n 4.020 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 4.020 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 4.020 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 4.020 * [taylor]: Taking taylor expansion of -0.5 in n 4.020 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 4.020 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.020 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.020 * [taylor]: Taking taylor expansion of -2.0 in n 4.020 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.020 * [taylor]: Taking taylor expansion of PI in n 4.020 * [taylor]: Taking taylor expansion of n in n 4.021 * [taylor]: Taking taylor expansion of k in n 4.030 * * * [progress]: simplifying candidates 4.031 * [simplify]: Simplifying using # : (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 1) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (/ 1 (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (pow n (/ 1.0 2.0)) (/ 1 (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (pow (* PI n) (/ 1.0 2.0)) (/ 1 (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (pow (* 2.0 n) (/ 1.0 2.0)) (/ 1 (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (/ 1 (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (/ 1 (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (- 1.0) (/ 1 (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 1) (* (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (- 1)) (* (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 1) (* (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (- (sqrt k)))) (* (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0))))) (* (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (- (sqrt k)) (pow 2.0 (/ k 2.0))))) (* (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (- (sqrt k)) (pow PI (/ k 2.0))))) (* (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (- (sqrt k)) (pow n (/ k 2.0))))) (* (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))))) (* (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 -1)) (* (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* PI n) (* 2.0 n) (* PI n) (* 2.0 n) (- 1) (- (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1 (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) 1) (/ 1 (- (sqrt k))) (/ 1 (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ 1 (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ 1 (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ 1 (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ 1 (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ 1 -1) (/ 1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (- (+ (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))) (- (+ (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))) (- (* +nan.0 (* (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)))))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (pow k 2) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow k 2) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow k 2) (log n))) (- (+ (* +nan.0 (pow k 2)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* k (log (* 2.0 PI)))) (- (+ (* +nan.0 (* k (log n))) (- +nan.0))))))))))))))))))) (- (+ (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (- (+ (* +nan.0 (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) (- (* +nan.0 (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))))))))) 4.038 * * [simplify]: iteration 0 : 722 enodes (cost 696 ) 4.051 * * [simplify]: iteration 1 : 3212 enodes (cost 643 ) 4.106 * * [simplify]: iteration 2 : 5001 enodes (cost 643 ) 4.109 * [simplify]: Simplified to: (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (pow n (/ 1.0 2.0)) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (pow (* PI n) (/ 1.0 2.0)) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (pow (* 2.0 n) (/ 1.0 2.0)) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (- 1.0) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (- (sqrt k))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* PI n) (* 2.0 n) (* PI n) (* 2.0 n) (- 1) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (- (sqrt k))) (/ 1 (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ 1 (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ 1 (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ 1 (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ 1 (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) -1 (/ 1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))))) (- (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (+ (* +nan.0 (+ (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (/ (- (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (- (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ (- (* +nan.0 (* (pow k 2) (pow (log n) 2)))) (- (* +nan.0 (* (pow k 2) (log (* 2.0 PI)))) (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (- (* +nan.0 (* (pow k 2) (log n))) (- (* +nan.0 (pow k 2)) (- (* +nan.0 k) (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (* k (log (* 2.0 PI)))) (- (* +nan.0 (* k (log n))) +nan.0))))))))) (+ (* +nan.0 (- (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))) (/ (- +nan.0) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (+ (* +nan.0 (- (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (/ (- +nan.0) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))) 4.109 * * * [progress]: adding candidates to table 4.324 * * [progress]: iteration 4 / 4 4.324 * * * [progress]: picking best candidate 4.335 * * * * [pick]: Picked # 4.335 * * * [progress]: localizing error 4.366 * * * [progress]: generating rewritten candidates 4.366 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 4.383 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 4.386 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 4.388 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 4.407 * * * [progress]: generating series expansions 4.407 * * * * [progress]: [ 1 / 4 ] generating series at (2) 4.410 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in (n k) around 0 4.410 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in k 4.410 * [taylor]: Taking taylor expansion of 1.0 in k 4.410 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 4.410 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.410 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.410 * [taylor]: Taking taylor expansion of k in k 4.411 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 4.411 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 4.411 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 4.411 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 4.411 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 4.412 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 4.412 * [taylor]: Taking taylor expansion of 0.5 in k 4.412 * [taylor]: Taking taylor expansion of k in k 4.412 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.412 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.412 * [taylor]: Taking taylor expansion of 2.0 in k 4.412 * [taylor]: Taking taylor expansion of (* n PI) in k 4.412 * [taylor]: Taking taylor expansion of n in k 4.412 * [taylor]: Taking taylor expansion of PI in k 4.415 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 4.415 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 4.415 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 4.415 * [taylor]: Taking taylor expansion of 0.5 in k 4.415 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 4.415 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 4.415 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.415 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.415 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.415 * [taylor]: Taking taylor expansion of 1.0 in k 4.415 * [taylor]: Taking taylor expansion of (log PI) in k 4.415 * [taylor]: Taking taylor expansion of PI in k 4.417 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 4.417 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.417 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.417 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.417 * [taylor]: Taking taylor expansion of 1.0 in k 4.417 * [taylor]: Taking taylor expansion of (log n) in k 4.417 * [taylor]: Taking taylor expansion of n in k 4.417 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.417 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.417 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.417 * [taylor]: Taking taylor expansion of 1.0 in k 4.417 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.417 * [taylor]: Taking taylor expansion of 2.0 in k 4.422 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 4.423 * [taylor]: Taking taylor expansion of 1.0 in n 4.423 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.423 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.423 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.423 * [taylor]: Taking taylor expansion of k in n 4.423 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.423 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 4.423 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 4.423 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 4.423 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 4.423 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 4.423 * [taylor]: Taking taylor expansion of 0.5 in n 4.423 * [taylor]: Taking taylor expansion of k in n 4.423 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.423 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.423 * [taylor]: Taking taylor expansion of 2.0 in n 4.423 * [taylor]: Taking taylor expansion of (* n PI) in n 4.423 * [taylor]: Taking taylor expansion of n in n 4.423 * [taylor]: Taking taylor expansion of PI in n 4.429 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.429 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.429 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.429 * [taylor]: Taking taylor expansion of 0.5 in n 4.429 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.429 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.429 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.429 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.429 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.429 * [taylor]: Taking taylor expansion of 1.0 in n 4.429 * [taylor]: Taking taylor expansion of (log PI) in n 4.429 * [taylor]: Taking taylor expansion of PI in n 4.431 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.431 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.431 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.431 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.431 * [taylor]: Taking taylor expansion of 1.0 in n 4.431 * [taylor]: Taking taylor expansion of (log n) in n 4.431 * [taylor]: Taking taylor expansion of n in n 4.432 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.432 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.432 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.432 * [taylor]: Taking taylor expansion of 1.0 in n 4.432 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.432 * [taylor]: Taking taylor expansion of 2.0 in n 4.437 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 4.437 * [taylor]: Taking taylor expansion of 1.0 in n 4.437 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.437 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.437 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.437 * [taylor]: Taking taylor expansion of k in n 4.437 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.437 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 4.437 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 4.437 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 4.437 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 4.437 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 4.438 * [taylor]: Taking taylor expansion of 0.5 in n 4.438 * [taylor]: Taking taylor expansion of k in n 4.438 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.438 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.438 * [taylor]: Taking taylor expansion of 2.0 in n 4.438 * [taylor]: Taking taylor expansion of (* n PI) in n 4.438 * [taylor]: Taking taylor expansion of n in n 4.438 * [taylor]: Taking taylor expansion of PI in n 4.444 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.444 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.444 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.444 * [taylor]: Taking taylor expansion of 0.5 in n 4.444 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.444 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.444 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.444 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.444 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.444 * [taylor]: Taking taylor expansion of 1.0 in n 4.444 * [taylor]: Taking taylor expansion of (log PI) in n 4.444 * [taylor]: Taking taylor expansion of PI in n 4.446 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.446 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.446 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.446 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.446 * [taylor]: Taking taylor expansion of 1.0 in n 4.446 * [taylor]: Taking taylor expansion of (log n) in n 4.446 * [taylor]: Taking taylor expansion of n in n 4.446 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.446 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.446 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.446 * [taylor]: Taking taylor expansion of 1.0 in n 4.446 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.446 * [taylor]: Taking taylor expansion of 2.0 in n 4.462 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 4.463 * [taylor]: Taking taylor expansion of 1.0 in k 4.463 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 4.463 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.463 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.463 * [taylor]: Taking taylor expansion of k in k 4.464 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 4.464 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 4.464 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 4.464 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 4.464 * [taylor]: Taking taylor expansion of 0.5 in k 4.464 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 4.464 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 4.464 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.464 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.464 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.464 * [taylor]: Taking taylor expansion of 1.0 in k 4.464 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.464 * [taylor]: Taking taylor expansion of 2.0 in k 4.466 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 4.466 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.466 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.466 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.466 * [taylor]: Taking taylor expansion of 1.0 in k 4.466 * [taylor]: Taking taylor expansion of (log n) in k 4.466 * [taylor]: Taking taylor expansion of n in k 4.466 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.466 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.466 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.466 * [taylor]: Taking taylor expansion of 1.0 in k 4.466 * [taylor]: Taking taylor expansion of (log PI) in k 4.466 * [taylor]: Taking taylor expansion of PI in k 4.472 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 4.472 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 4.472 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 4.472 * [taylor]: Taking taylor expansion of 0.5 in k 4.472 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 4.472 * [taylor]: Taking taylor expansion of k in k 4.472 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.472 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.472 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.472 * [taylor]: Taking taylor expansion of 2.0 in k 4.472 * [taylor]: Taking taylor expansion of PI in k 4.473 * [taylor]: Taking taylor expansion of (log n) in k 4.473 * [taylor]: Taking taylor expansion of n in k 4.503 * [taylor]: Taking taylor expansion of 0 in k 4.562 * [taylor]: Taking taylor expansion of 0 in k 4.662 * [taylor]: Taking taylor expansion of 0 in k 4.785 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 4.785 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 4.785 * [taylor]: Taking taylor expansion of 1.0 in k 4.785 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 4.785 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.785 * [taylor]: Taking taylor expansion of k in k 4.786 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 4.786 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 4.786 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 4.786 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 4.786 * [taylor]: Taking taylor expansion of 0.5 in k 4.786 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 4.786 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 4.786 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 4.786 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.786 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.786 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.786 * [taylor]: Taking taylor expansion of 1.0 in k 4.786 * [taylor]: Taking taylor expansion of (log PI) in k 4.786 * [taylor]: Taking taylor expansion of PI in k 4.788 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.788 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.788 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.788 * [taylor]: Taking taylor expansion of 1.0 in k 4.788 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.788 * [taylor]: Taking taylor expansion of 2.0 in k 4.790 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.790 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.790 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.790 * [taylor]: Taking taylor expansion of 1.0 in k 4.790 * [taylor]: Taking taylor expansion of (log n) in k 4.790 * [taylor]: Taking taylor expansion of n in k 4.797 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 4.797 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 4.797 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 4.797 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 4.797 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 4.797 * [taylor]: Taking taylor expansion of 0.5 in k 4.797 * [taylor]: Taking taylor expansion of k in k 4.797 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.797 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.797 * [taylor]: Taking taylor expansion of 2.0 in k 4.797 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.797 * [taylor]: Taking taylor expansion of PI in k 4.797 * [taylor]: Taking taylor expansion of n in k 4.798 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 4.798 * [taylor]: Taking taylor expansion of 1.0 in n 4.798 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 4.798 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.798 * [taylor]: Taking taylor expansion of k in n 4.798 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 4.798 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 4.798 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 4.798 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 4.798 * [taylor]: Taking taylor expansion of 0.5 in n 4.798 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 4.798 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 4.798 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 4.798 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.798 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.798 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.798 * [taylor]: Taking taylor expansion of 1.0 in n 4.798 * [taylor]: Taking taylor expansion of (log PI) in n 4.798 * [taylor]: Taking taylor expansion of PI in n 4.800 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.800 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.800 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.800 * [taylor]: Taking taylor expansion of 1.0 in n 4.800 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.800 * [taylor]: Taking taylor expansion of 2.0 in n 4.802 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.802 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.802 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.802 * [taylor]: Taking taylor expansion of 1.0 in n 4.802 * [taylor]: Taking taylor expansion of (log n) in n 4.802 * [taylor]: Taking taylor expansion of n in n 4.815 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 4.815 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 4.815 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 4.815 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 4.815 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.815 * [taylor]: Taking taylor expansion of 0.5 in n 4.815 * [taylor]: Taking taylor expansion of k in n 4.815 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.815 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.815 * [taylor]: Taking taylor expansion of 2.0 in n 4.815 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.815 * [taylor]: Taking taylor expansion of PI in n 4.815 * [taylor]: Taking taylor expansion of n in n 4.820 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 4.820 * [taylor]: Taking taylor expansion of 1.0 in n 4.820 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 4.820 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.820 * [taylor]: Taking taylor expansion of k in n 4.820 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 4.820 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 4.820 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 4.820 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 4.820 * [taylor]: Taking taylor expansion of 0.5 in n 4.820 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 4.820 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 4.820 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 4.820 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.820 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.820 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.820 * [taylor]: Taking taylor expansion of 1.0 in n 4.820 * [taylor]: Taking taylor expansion of (log PI) in n 4.820 * [taylor]: Taking taylor expansion of PI in n 4.822 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.822 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.822 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.822 * [taylor]: Taking taylor expansion of 1.0 in n 4.822 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.822 * [taylor]: Taking taylor expansion of 2.0 in n 4.824 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.824 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.824 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.824 * [taylor]: Taking taylor expansion of 1.0 in n 4.824 * [taylor]: Taking taylor expansion of (log n) in n 4.824 * [taylor]: Taking taylor expansion of n in n 4.831 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 4.831 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 4.831 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 4.831 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 4.831 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.831 * [taylor]: Taking taylor expansion of 0.5 in n 4.831 * [taylor]: Taking taylor expansion of k in n 4.831 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.831 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.831 * [taylor]: Taking taylor expansion of 2.0 in n 4.831 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.831 * [taylor]: Taking taylor expansion of PI in n 4.831 * [taylor]: Taking taylor expansion of n in n 4.842 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 4.842 * [taylor]: Taking taylor expansion of 1.0 in k 4.842 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 4.842 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.842 * [taylor]: Taking taylor expansion of k in k 4.843 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 4.843 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.843 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.843 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.843 * [taylor]: Taking taylor expansion of 0.5 in k 4.843 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.843 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.843 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 4.843 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.843 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.843 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.843 * [taylor]: Taking taylor expansion of 1.0 in k 4.843 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.843 * [taylor]: Taking taylor expansion of 2.0 in k 4.845 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.845 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.845 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.845 * [taylor]: Taking taylor expansion of 1.0 in k 4.845 * [taylor]: Taking taylor expansion of (log PI) in k 4.845 * [taylor]: Taking taylor expansion of PI in k 4.847 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.847 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.847 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.847 * [taylor]: Taking taylor expansion of 1.0 in k 4.847 * [taylor]: Taking taylor expansion of (log n) in k 4.847 * [taylor]: Taking taylor expansion of n in k 4.854 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 4.854 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 4.854 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 4.854 * [taylor]: Taking taylor expansion of 0.5 in k 4.854 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 4.854 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.854 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.854 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.854 * [taylor]: Taking taylor expansion of 2.0 in k 4.854 * [taylor]: Taking taylor expansion of PI in k 4.855 * [taylor]: Taking taylor expansion of (log n) in k 4.855 * [taylor]: Taking taylor expansion of n in k 4.855 * [taylor]: Taking taylor expansion of k in k 4.888 * [taylor]: Taking taylor expansion of 0 in k 4.953 * [taylor]: Taking taylor expansion of 0 in k 5.038 * [taylor]: Taking taylor expansion of 0 in k 5.098 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))))) in (n k) around 0 5.098 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))))) in k 5.098 * [taylor]: Taking taylor expansion of 1.0 in k 5.098 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in k 5.098 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) in k 5.098 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))))) in k 5.098 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)))) in k 5.098 * [taylor]: Taking taylor expansion of 0.5 in k 5.098 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))) in k 5.098 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) in k 5.098 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in k 5.098 * [taylor]: Taking taylor expansion of (pow -1 1.0) in k 5.098 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in k 5.098 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in k 5.098 * [taylor]: Taking taylor expansion of 1.0 in k 5.098 * [taylor]: Taking taylor expansion of (log -1) in k 5.098 * [taylor]: Taking taylor expansion of -1 in k 5.100 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 5.100 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.100 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.100 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.100 * [taylor]: Taking taylor expansion of 1.0 in k 5.100 * [taylor]: Taking taylor expansion of (log PI) in k 5.100 * [taylor]: Taking taylor expansion of PI in k 5.102 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.102 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.102 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.102 * [taylor]: Taking taylor expansion of 1.0 in k 5.102 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.102 * [taylor]: Taking taylor expansion of 2.0 in k 5.104 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.104 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.104 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.104 * [taylor]: Taking taylor expansion of 1.0 in k 5.104 * [taylor]: Taking taylor expansion of (log n) in k 5.104 * [taylor]: Taking taylor expansion of n in k 5.117 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 5.117 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 5.117 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.117 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.117 * [taylor]: Taking taylor expansion of -1 in k 5.117 * [taylor]: Taking taylor expansion of k in k 5.118 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 5.118 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 5.118 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 5.118 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 5.118 * [taylor]: Taking taylor expansion of -0.5 in k 5.118 * [taylor]: Taking taylor expansion of k in k 5.119 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.119 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.119 * [taylor]: Taking taylor expansion of -2.0 in k 5.119 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.119 * [taylor]: Taking taylor expansion of PI in k 5.119 * [taylor]: Taking taylor expansion of n in k 5.120 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))))) in n 5.120 * [taylor]: Taking taylor expansion of 1.0 in n 5.120 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in n 5.120 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) in n 5.120 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))))) in n 5.120 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)))) in n 5.120 * [taylor]: Taking taylor expansion of 0.5 in n 5.120 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))) in n 5.120 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) in n 5.120 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 5.120 * [taylor]: Taking taylor expansion of (pow -1 1.0) in n 5.120 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in n 5.120 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in n 5.120 * [taylor]: Taking taylor expansion of 1.0 in n 5.120 * [taylor]: Taking taylor expansion of (log -1) in n 5.120 * [taylor]: Taking taylor expansion of -1 in n 5.122 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 5.122 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.122 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.122 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.122 * [taylor]: Taking taylor expansion of 1.0 in n 5.122 * [taylor]: Taking taylor expansion of (log PI) in n 5.122 * [taylor]: Taking taylor expansion of PI in n 5.124 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.124 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.124 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.124 * [taylor]: Taking taylor expansion of 1.0 in n 5.124 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.124 * [taylor]: Taking taylor expansion of 2.0 in n 5.125 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.125 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.125 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.125 * [taylor]: Taking taylor expansion of 1.0 in n 5.126 * [taylor]: Taking taylor expansion of (log n) in n 5.126 * [taylor]: Taking taylor expansion of n in n 5.139 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 5.139 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 5.139 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.139 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.139 * [taylor]: Taking taylor expansion of -1 in n 5.139 * [taylor]: Taking taylor expansion of k in n 5.139 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 5.139 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 5.139 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 5.139 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 5.139 * [taylor]: Taking taylor expansion of -0.5 in n 5.140 * [taylor]: Taking taylor expansion of k in n 5.140 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.140 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.140 * [taylor]: Taking taylor expansion of -2.0 in n 5.140 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.140 * [taylor]: Taking taylor expansion of PI in n 5.140 * [taylor]: Taking taylor expansion of n in n 5.145 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))))) in n 5.145 * [taylor]: Taking taylor expansion of 1.0 in n 5.145 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in n 5.145 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) in n 5.145 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))))) in n 5.145 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)))) in n 5.145 * [taylor]: Taking taylor expansion of 0.5 in n 5.145 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))) in n 5.145 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) in n 5.145 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 5.145 * [taylor]: Taking taylor expansion of (pow -1 1.0) in n 5.145 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in n 5.145 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in n 5.145 * [taylor]: Taking taylor expansion of 1.0 in n 5.145 * [taylor]: Taking taylor expansion of (log -1) in n 5.145 * [taylor]: Taking taylor expansion of -1 in n 5.147 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 5.147 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.147 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.147 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.147 * [taylor]: Taking taylor expansion of 1.0 in n 5.147 * [taylor]: Taking taylor expansion of (log PI) in n 5.147 * [taylor]: Taking taylor expansion of PI in n 5.149 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.149 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.149 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.149 * [taylor]: Taking taylor expansion of 1.0 in n 5.149 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.149 * [taylor]: Taking taylor expansion of 2.0 in n 5.151 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.151 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.151 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.151 * [taylor]: Taking taylor expansion of 1.0 in n 5.151 * [taylor]: Taking taylor expansion of (log n) in n 5.151 * [taylor]: Taking taylor expansion of n in n 5.170 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 5.170 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 5.170 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.170 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.170 * [taylor]: Taking taylor expansion of -1 in n 5.170 * [taylor]: Taking taylor expansion of k in n 5.170 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 5.171 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 5.171 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 5.171 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 5.171 * [taylor]: Taking taylor expansion of -0.5 in n 5.171 * [taylor]: Taking taylor expansion of k in n 5.171 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.171 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.171 * [taylor]: Taking taylor expansion of -2.0 in n 5.171 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.171 * [taylor]: Taking taylor expansion of PI in n 5.171 * [taylor]: Taking taylor expansion of n in n 5.182 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))))) in k 5.182 * [taylor]: Taking taylor expansion of 1.0 in k 5.182 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))))) in k 5.182 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) in k 5.182 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))))) in k 5.182 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)))) in k 5.182 * [taylor]: Taking taylor expansion of 0.5 in k 5.182 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))) in k 5.182 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) in k 5.182 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in k 5.182 * [taylor]: Taking taylor expansion of (pow -1 1.0) in k 5.182 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in k 5.182 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in k 5.182 * [taylor]: Taking taylor expansion of 1.0 in k 5.182 * [taylor]: Taking taylor expansion of (log -1) in k 5.182 * [taylor]: Taking taylor expansion of -1 in k 5.184 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 5.184 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.184 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.184 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.184 * [taylor]: Taking taylor expansion of 1.0 in k 5.184 * [taylor]: Taking taylor expansion of (log PI) in k 5.184 * [taylor]: Taking taylor expansion of PI in k 5.186 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.186 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.186 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.186 * [taylor]: Taking taylor expansion of 1.0 in k 5.186 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.186 * [taylor]: Taking taylor expansion of 2.0 in k 5.188 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.188 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.188 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.188 * [taylor]: Taking taylor expansion of 1.0 in k 5.188 * [taylor]: Taking taylor expansion of (log n) in k 5.188 * [taylor]: Taking taylor expansion of n in k 5.201 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 5.201 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 5.201 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 5.201 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 5.201 * [taylor]: Taking taylor expansion of -0.5 in k 5.201 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 5.201 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.201 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.201 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.201 * [taylor]: Taking taylor expansion of -2.0 in k 5.201 * [taylor]: Taking taylor expansion of PI in k 5.202 * [taylor]: Taking taylor expansion of (log n) in k 5.202 * [taylor]: Taking taylor expansion of n in k 5.202 * [taylor]: Taking taylor expansion of k in k 5.205 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.205 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.205 * [taylor]: Taking taylor expansion of -1 in k 5.205 * [taylor]: Taking taylor expansion of k in k 5.256 * [taylor]: Taking taylor expansion of 0 in k 5.345 * [taylor]: Taking taylor expansion of 0 in k 5.408 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 5.408 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.408 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.408 * [taylor]: Taking taylor expansion of 2.0 in n 5.408 * [taylor]: Taking taylor expansion of (* n PI) in n 5.408 * [taylor]: Taking taylor expansion of n in n 5.408 * [taylor]: Taking taylor expansion of PI in n 5.408 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.408 * [taylor]: Taking taylor expansion of 2.0 in n 5.408 * [taylor]: Taking taylor expansion of (* n PI) in n 5.408 * [taylor]: Taking taylor expansion of n in n 5.408 * [taylor]: Taking taylor expansion of PI in n 5.428 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.428 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.428 * [taylor]: Taking taylor expansion of 2.0 in n 5.428 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.428 * [taylor]: Taking taylor expansion of PI in n 5.428 * [taylor]: Taking taylor expansion of n in n 5.428 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.428 * [taylor]: Taking taylor expansion of 2.0 in n 5.428 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.428 * [taylor]: Taking taylor expansion of PI in n 5.428 * [taylor]: Taking taylor expansion of n in n 5.437 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.437 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.437 * [taylor]: Taking taylor expansion of -2.0 in n 5.437 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.437 * [taylor]: Taking taylor expansion of PI in n 5.437 * [taylor]: Taking taylor expansion of n in n 5.438 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.438 * [taylor]: Taking taylor expansion of -2.0 in n 5.438 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.438 * [taylor]: Taking taylor expansion of PI in n 5.438 * [taylor]: Taking taylor expansion of n in n 5.447 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 5.447 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 5.447 * [taylor]: Taking taylor expansion of (* n PI) in n 5.447 * [taylor]: Taking taylor expansion of n in n 5.447 * [taylor]: Taking taylor expansion of PI in n 5.447 * [taylor]: Taking taylor expansion of (* n PI) in n 5.447 * [taylor]: Taking taylor expansion of n in n 5.447 * [taylor]: Taking taylor expansion of PI in n 5.453 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 5.453 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.453 * [taylor]: Taking taylor expansion of PI in n 5.453 * [taylor]: Taking taylor expansion of n in n 5.453 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.453 * [taylor]: Taking taylor expansion of PI in n 5.453 * [taylor]: Taking taylor expansion of n in n 5.457 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 5.457 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 5.457 * [taylor]: Taking taylor expansion of -1 in n 5.457 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.457 * [taylor]: Taking taylor expansion of PI in n 5.457 * [taylor]: Taking taylor expansion of n in n 5.458 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 5.458 * [taylor]: Taking taylor expansion of -1 in n 5.458 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.458 * [taylor]: Taking taylor expansion of PI in n 5.458 * [taylor]: Taking taylor expansion of n in n 5.467 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 5.468 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in (n k) around 0 5.468 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in k 5.468 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.468 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.468 * [taylor]: Taking taylor expansion of k in k 5.469 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in k 5.469 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 5.469 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 5.469 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 5.469 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 5.469 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 5.469 * [taylor]: Taking taylor expansion of 0.5 in k 5.470 * [taylor]: Taking taylor expansion of k in k 5.470 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.470 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.470 * [taylor]: Taking taylor expansion of 2.0 in k 5.470 * [taylor]: Taking taylor expansion of (* n PI) in k 5.470 * [taylor]: Taking taylor expansion of n in k 5.470 * [taylor]: Taking taylor expansion of PI in k 5.473 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in k 5.473 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in k 5.473 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in k 5.473 * [taylor]: Taking taylor expansion of 0.5 in k 5.473 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in k 5.473 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 5.473 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.473 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.473 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.473 * [taylor]: Taking taylor expansion of 1.0 in k 5.473 * [taylor]: Taking taylor expansion of (log n) in k 5.473 * [taylor]: Taking taylor expansion of n in k 5.473 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.473 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.473 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.473 * [taylor]: Taking taylor expansion of 1.0 in k 5.473 * [taylor]: Taking taylor expansion of (log PI) in k 5.473 * [taylor]: Taking taylor expansion of PI in k 5.477 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in n 5.477 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 5.477 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.477 * [taylor]: Taking taylor expansion of k in n 5.477 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in n 5.477 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 5.477 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 5.477 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 5.477 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 5.477 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 5.477 * [taylor]: Taking taylor expansion of 0.5 in n 5.477 * [taylor]: Taking taylor expansion of k in n 5.477 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.477 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.477 * [taylor]: Taking taylor expansion of 2.0 in n 5.477 * [taylor]: Taking taylor expansion of (* n PI) in n 5.477 * [taylor]: Taking taylor expansion of n in n 5.477 * [taylor]: Taking taylor expansion of PI in n 5.484 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 5.484 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 5.484 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 5.484 * [taylor]: Taking taylor expansion of 0.5 in n 5.484 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 5.484 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.484 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.484 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.484 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.484 * [taylor]: Taking taylor expansion of 1.0 in n 5.484 * [taylor]: Taking taylor expansion of (log n) in n 5.484 * [taylor]: Taking taylor expansion of n in n 5.484 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.484 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.484 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.484 * [taylor]: Taking taylor expansion of 1.0 in n 5.484 * [taylor]: Taking taylor expansion of (log PI) in n 5.485 * [taylor]: Taking taylor expansion of PI in n 5.488 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in n 5.488 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 5.488 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.488 * [taylor]: Taking taylor expansion of k in n 5.488 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in n 5.489 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 5.489 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 5.489 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 5.489 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 5.489 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 5.489 * [taylor]: Taking taylor expansion of 0.5 in n 5.489 * [taylor]: Taking taylor expansion of k in n 5.489 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.489 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.489 * [taylor]: Taking taylor expansion of 2.0 in n 5.489 * [taylor]: Taking taylor expansion of (* n PI) in n 5.489 * [taylor]: Taking taylor expansion of n in n 5.489 * [taylor]: Taking taylor expansion of PI in n 5.495 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 5.495 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 5.495 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 5.495 * [taylor]: Taking taylor expansion of 0.5 in n 5.495 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 5.495 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.495 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.495 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.495 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.495 * [taylor]: Taking taylor expansion of 1.0 in n 5.495 * [taylor]: Taking taylor expansion of (log n) in n 5.495 * [taylor]: Taking taylor expansion of n in n 5.496 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.496 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.496 * [taylor]: Taking taylor expansion of 1.0 in n 5.496 * [taylor]: Taking taylor expansion of (log PI) in n 5.496 * [taylor]: Taking taylor expansion of PI in n 5.502 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in k 5.502 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.502 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.502 * [taylor]: Taking taylor expansion of k in k 5.504 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in k 5.504 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 5.504 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 5.504 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 5.504 * [taylor]: Taking taylor expansion of 0.5 in k 5.504 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 5.504 * [taylor]: Taking taylor expansion of k in k 5.504 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.504 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.504 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.504 * [taylor]: Taking taylor expansion of 2.0 in k 5.504 * [taylor]: Taking taylor expansion of PI in k 5.505 * [taylor]: Taking taylor expansion of (log n) in k 5.505 * [taylor]: Taking taylor expansion of n in k 5.511 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in k 5.511 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in k 5.511 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in k 5.511 * [taylor]: Taking taylor expansion of 0.5 in k 5.511 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in k 5.511 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 5.511 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.511 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.511 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.511 * [taylor]: Taking taylor expansion of 1.0 in k 5.511 * [taylor]: Taking taylor expansion of (log n) in k 5.511 * [taylor]: Taking taylor expansion of n in k 5.511 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.511 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.511 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.511 * [taylor]: Taking taylor expansion of 1.0 in k 5.511 * [taylor]: Taking taylor expansion of (log PI) in k 5.511 * [taylor]: Taking taylor expansion of PI in k 5.539 * [taylor]: Taking taylor expansion of 0 in k 5.578 * [taylor]: Taking taylor expansion of 0 in k 5.653 * [taylor]: Taking taylor expansion of 0 in k 5.740 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in (n k) around 0 5.740 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 5.740 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.740 * [taylor]: Taking taylor expansion of k in k 5.741 * [taylor]: Taking taylor expansion of (* (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 5.741 * [taylor]: Taking taylor expansion of (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5) in k 5.741 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow PI 1.0) (pow n 1.0))))) in k 5.741 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow PI 1.0) (pow n 1.0)))) in k 5.741 * [taylor]: Taking taylor expansion of 0.5 in k 5.741 * [taylor]: Taking taylor expansion of (log (/ (pow PI 1.0) (pow n 1.0))) in k 5.741 * [taylor]: Taking taylor expansion of (/ (pow PI 1.0) (pow n 1.0)) in k 5.741 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.741 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.741 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.741 * [taylor]: Taking taylor expansion of 1.0 in k 5.741 * [taylor]: Taking taylor expansion of (log PI) in k 5.741 * [taylor]: Taking taylor expansion of PI in k 5.743 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.743 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.743 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.743 * [taylor]: Taking taylor expansion of 1.0 in k 5.743 * [taylor]: Taking taylor expansion of (log n) in k 5.743 * [taylor]: Taking taylor expansion of n in k 5.745 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 5.745 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 5.745 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 5.745 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 5.745 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 5.745 * [taylor]: Taking taylor expansion of 0.5 in k 5.745 * [taylor]: Taking taylor expansion of k in k 5.745 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.745 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.745 * [taylor]: Taking taylor expansion of 2.0 in k 5.745 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.745 * [taylor]: Taking taylor expansion of PI in k 5.745 * [taylor]: Taking taylor expansion of n in k 5.746 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 5.746 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.746 * [taylor]: Taking taylor expansion of k in n 5.746 * [taylor]: Taking taylor expansion of (* (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 5.746 * [taylor]: Taking taylor expansion of (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5) in n 5.746 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow PI 1.0) (pow n 1.0))))) in n 5.746 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow PI 1.0) (pow n 1.0)))) in n 5.746 * [taylor]: Taking taylor expansion of 0.5 in n 5.746 * [taylor]: Taking taylor expansion of (log (/ (pow PI 1.0) (pow n 1.0))) in n 5.746 * [taylor]: Taking taylor expansion of (/ (pow PI 1.0) (pow n 1.0)) in n 5.746 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.746 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.746 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.746 * [taylor]: Taking taylor expansion of 1.0 in n 5.746 * [taylor]: Taking taylor expansion of (log PI) in n 5.746 * [taylor]: Taking taylor expansion of PI in n 5.748 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.748 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.748 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.748 * [taylor]: Taking taylor expansion of 1.0 in n 5.748 * [taylor]: Taking taylor expansion of (log n) in n 5.748 * [taylor]: Taking taylor expansion of n in n 5.751 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 5.751 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 5.751 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 5.751 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 5.751 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 5.751 * [taylor]: Taking taylor expansion of 0.5 in n 5.751 * [taylor]: Taking taylor expansion of k in n 5.751 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.751 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.751 * [taylor]: Taking taylor expansion of 2.0 in n 5.751 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.751 * [taylor]: Taking taylor expansion of PI in n 5.751 * [taylor]: Taking taylor expansion of n in n 5.755 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 5.756 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.756 * [taylor]: Taking taylor expansion of k in n 5.756 * [taylor]: Taking taylor expansion of (* (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 5.756 * [taylor]: Taking taylor expansion of (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5) in n 5.756 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow PI 1.0) (pow n 1.0))))) in n 5.756 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow PI 1.0) (pow n 1.0)))) in n 5.756 * [taylor]: Taking taylor expansion of 0.5 in n 5.756 * [taylor]: Taking taylor expansion of (log (/ (pow PI 1.0) (pow n 1.0))) in n 5.756 * [taylor]: Taking taylor expansion of (/ (pow PI 1.0) (pow n 1.0)) in n 5.756 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.756 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.756 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.756 * [taylor]: Taking taylor expansion of 1.0 in n 5.756 * [taylor]: Taking taylor expansion of (log PI) in n 5.756 * [taylor]: Taking taylor expansion of PI in n 5.758 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.758 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.758 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.758 * [taylor]: Taking taylor expansion of 1.0 in n 5.758 * [taylor]: Taking taylor expansion of (log n) in n 5.758 * [taylor]: Taking taylor expansion of n in n 5.760 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 5.760 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 5.760 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 5.760 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 5.760 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 5.760 * [taylor]: Taking taylor expansion of 0.5 in n 5.760 * [taylor]: Taking taylor expansion of k in n 5.760 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.760 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.760 * [taylor]: Taking taylor expansion of 2.0 in n 5.760 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.760 * [taylor]: Taking taylor expansion of PI in n 5.760 * [taylor]: Taking taylor expansion of n in n 5.767 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5))) in k 5.767 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.767 * [taylor]: Taking taylor expansion of k in k 5.768 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5)) in k 5.768 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 5.769 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 5.769 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 5.769 * [taylor]: Taking taylor expansion of 0.5 in k 5.769 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 5.769 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.769 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.769 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.769 * [taylor]: Taking taylor expansion of 2.0 in k 5.769 * [taylor]: Taking taylor expansion of PI in k 5.770 * [taylor]: Taking taylor expansion of (log n) in k 5.770 * [taylor]: Taking taylor expansion of n in k 5.770 * [taylor]: Taking taylor expansion of k in k 5.773 * [taylor]: Taking taylor expansion of (pow (/ (pow PI 1.0) (pow n 1.0)) 0.5) in k 5.773 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow PI 1.0) (pow n 1.0))))) in k 5.773 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow PI 1.0) (pow n 1.0)))) in k 5.773 * [taylor]: Taking taylor expansion of 0.5 in k 5.773 * [taylor]: Taking taylor expansion of (log (/ (pow PI 1.0) (pow n 1.0))) in k 5.773 * [taylor]: Taking taylor expansion of (/ (pow PI 1.0) (pow n 1.0)) in k 5.773 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.773 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.773 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.773 * [taylor]: Taking taylor expansion of 1.0 in k 5.773 * [taylor]: Taking taylor expansion of (log PI) in k 5.773 * [taylor]: Taking taylor expansion of PI in k 5.775 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.775 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.775 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.775 * [taylor]: Taking taylor expansion of 1.0 in k 5.775 * [taylor]: Taking taylor expansion of (log n) in k 5.775 * [taylor]: Taking taylor expansion of n in k 5.802 * [taylor]: Taking taylor expansion of 0 in k 5.837 * [taylor]: Taking taylor expansion of 0 in k 5.894 * [taylor]: Taking taylor expansion of 0 in k 5.925 * [approximate]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in (n k) around 0 5.925 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in k 5.925 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.925 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.925 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.925 * [taylor]: Taking taylor expansion of 0.5 in k 5.925 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.925 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.925 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (pow PI 1.0)) in k 5.925 * [taylor]: Taking taylor expansion of (pow -1 1.0) in k 5.925 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in k 5.925 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in k 5.925 * [taylor]: Taking taylor expansion of 1.0 in k 5.925 * [taylor]: Taking taylor expansion of (log -1) in k 5.925 * [taylor]: Taking taylor expansion of -1 in k 5.927 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.927 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.927 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.927 * [taylor]: Taking taylor expansion of 1.0 in k 5.927 * [taylor]: Taking taylor expansion of (log PI) in k 5.927 * [taylor]: Taking taylor expansion of PI in k 5.929 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.929 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.929 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.929 * [taylor]: Taking taylor expansion of 1.0 in k 5.929 * [taylor]: Taking taylor expansion of (log n) in k 5.929 * [taylor]: Taking taylor expansion of n in k 5.935 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 5.935 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 5.936 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.936 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.936 * [taylor]: Taking taylor expansion of -1 in k 5.936 * [taylor]: Taking taylor expansion of k in k 5.937 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 5.937 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 5.937 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 5.937 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 5.937 * [taylor]: Taking taylor expansion of -0.5 in k 5.937 * [taylor]: Taking taylor expansion of k in k 5.937 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.937 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.937 * [taylor]: Taking taylor expansion of -2.0 in k 5.937 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.937 * [taylor]: Taking taylor expansion of PI in k 5.937 * [taylor]: Taking taylor expansion of n in k 5.939 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in n 5.939 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.939 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.939 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.939 * [taylor]: Taking taylor expansion of 0.5 in n 5.939 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.939 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.939 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (pow PI 1.0)) in n 5.939 * [taylor]: Taking taylor expansion of (pow -1 1.0) in n 5.939 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in n 5.939 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in n 5.939 * [taylor]: Taking taylor expansion of 1.0 in n 5.939 * [taylor]: Taking taylor expansion of (log -1) in n 5.939 * [taylor]: Taking taylor expansion of -1 in n 5.941 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.941 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.941 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.941 * [taylor]: Taking taylor expansion of 1.0 in n 5.941 * [taylor]: Taking taylor expansion of (log PI) in n 5.941 * [taylor]: Taking taylor expansion of PI in n 5.943 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.943 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.943 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.943 * [taylor]: Taking taylor expansion of 1.0 in n 5.943 * [taylor]: Taking taylor expansion of (log n) in n 5.943 * [taylor]: Taking taylor expansion of n in n 5.950 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 5.950 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 5.950 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.950 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.950 * [taylor]: Taking taylor expansion of -1 in n 5.950 * [taylor]: Taking taylor expansion of k in n 5.950 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 5.950 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 5.950 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 5.950 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 5.950 * [taylor]: Taking taylor expansion of -0.5 in n 5.950 * [taylor]: Taking taylor expansion of k in n 5.950 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.950 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.950 * [taylor]: Taking taylor expansion of -2.0 in n 5.950 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.950 * [taylor]: Taking taylor expansion of PI in n 5.950 * [taylor]: Taking taylor expansion of n in n 5.955 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in n 5.955 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.955 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.955 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.955 * [taylor]: Taking taylor expansion of 0.5 in n 5.955 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.955 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.955 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (pow PI 1.0)) in n 5.955 * [taylor]: Taking taylor expansion of (pow -1 1.0) in n 5.955 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in n 5.955 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in n 5.955 * [taylor]: Taking taylor expansion of 1.0 in n 5.955 * [taylor]: Taking taylor expansion of (log -1) in n 5.955 * [taylor]: Taking taylor expansion of -1 in n 5.957 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.957 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.958 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.958 * [taylor]: Taking taylor expansion of 1.0 in n 5.958 * [taylor]: Taking taylor expansion of (log PI) in n 5.958 * [taylor]: Taking taylor expansion of PI in n 5.959 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.959 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.959 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.959 * [taylor]: Taking taylor expansion of 1.0 in n 5.959 * [taylor]: Taking taylor expansion of (log n) in n 5.959 * [taylor]: Taking taylor expansion of n in n 5.973 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 5.973 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 5.973 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.973 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.973 * [taylor]: Taking taylor expansion of -1 in n 5.973 * [taylor]: Taking taylor expansion of k in n 5.973 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 5.973 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 5.973 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 5.973 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 5.973 * [taylor]: Taking taylor expansion of -0.5 in n 5.973 * [taylor]: Taking taylor expansion of k in n 5.973 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.973 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.973 * [taylor]: Taking taylor expansion of -2.0 in n 5.973 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.973 * [taylor]: Taking taylor expansion of PI in n 5.973 * [taylor]: Taking taylor expansion of n in n 5.981 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))))) in k 5.981 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.981 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.981 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.981 * [taylor]: Taking taylor expansion of 0.5 in k 5.981 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.981 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.981 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (pow PI 1.0)) in k 5.981 * [taylor]: Taking taylor expansion of (pow -1 1.0) in k 5.981 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in k 5.981 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in k 5.981 * [taylor]: Taking taylor expansion of 1.0 in k 5.981 * [taylor]: Taking taylor expansion of (log -1) in k 5.981 * [taylor]: Taking taylor expansion of -1 in k 5.983 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.983 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.983 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.983 * [taylor]: Taking taylor expansion of 1.0 in k 5.983 * [taylor]: Taking taylor expansion of (log PI) in k 5.983 * [taylor]: Taking taylor expansion of PI in k 5.985 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.985 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.985 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.985 * [taylor]: Taking taylor expansion of 1.0 in k 5.985 * [taylor]: Taking taylor expansion of (log n) in k 5.985 * [taylor]: Taking taylor expansion of n in k 5.991 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 5.991 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 5.991 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 5.991 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 5.991 * [taylor]: Taking taylor expansion of -0.5 in k 5.991 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 5.991 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.992 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.992 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.992 * [taylor]: Taking taylor expansion of -2.0 in k 5.992 * [taylor]: Taking taylor expansion of PI in k 5.993 * [taylor]: Taking taylor expansion of (log n) in k 5.993 * [taylor]: Taking taylor expansion of n in k 5.993 * [taylor]: Taking taylor expansion of k in k 5.995 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.995 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.995 * [taylor]: Taking taylor expansion of -1 in k 5.995 * [taylor]: Taking taylor expansion of k in k 6.025 * [taylor]: Taking taylor expansion of 0 in k 6.087 * [taylor]: Taking taylor expansion of 0 in k 6.127 * * * [progress]: simplifying candidates 6.132 * [simplify]: Simplifying using # : (* (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (pow (* PI n) (/ 1.0 2.0))) (* -1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (- (pow (* PI n) (/ 1.0 2.0)))) (* -1 (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) 1) (* -1 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* PI n) (/ 1.0 2.0)))) (* (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (/ (pow (* PI n) (/ 1.0 2.0)) (sqrt k))) (* -1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (* -1 (pow n (/ k 2.0))) (* (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow 2.0 (/ k 2.0))))) (* -1 (pow (* PI n) (/ k 2.0))) (* (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow PI (/ k 2.0))))) (* -1 (pow (* 2.0 n) (/ k 2.0))) (* (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow n (/ k 2.0))))) (* -1 (pow (* 2.0 PI) (/ k 2.0))) (* (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))))) (* -1 (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (/ (pow (* PI n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* -1 (sqrt k)) (* (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (pow PI (/ 1.0 2.0))) (* -1 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow n (/ 1.0 2.0)))) (* (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* -1 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow PI (/ 1.0 2.0)))) (* (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (pow (* PI n) (/ (/ 1.0 2.0) 2))) (* -1 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* PI n) (/ (/ 1.0 2.0) 2)))) (* (- (* (- 1.0) (pow 2.0 (/ 1.0 2.0)))) (pow (* PI n) (/ 1.0 2.0))) (* (- -1) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (- (* (- 1.0) (pow 2.0 (/ 1.0 2.0)))) (- (pow (* PI n) (/ 1.0 2.0)))) (* (- -1) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (- (* (- 1.0) (pow 2.0 (/ 1.0 2.0)))) 1) (* (- -1) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* PI n) (/ 1.0 2.0)))) (* (- (* (- 1.0) (pow 2.0 (/ 1.0 2.0)))) (/ (pow (* PI n) (/ 1.0 2.0)) (sqrt k))) (* (- -1) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (- (* (- 1.0) (pow 2.0 (/ 1.0 2.0)))) (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (* (- -1) (pow n (/ k 2.0))) (* (- (* (- 1.0) (pow 2.0 (/ 1.0 2.0)))) (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow 2.0 (/ k 2.0))))) (* (- -1) (pow (* PI n) (/ k 2.0))) (* (- (* (- 1.0) (pow 2.0 (/ 1.0 2.0)))) (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow PI (/ k 2.0))))) (* (- -1) (pow (* 2.0 n) (/ k 2.0))) (* (- (* (- 1.0) (pow 2.0 (/ 1.0 2.0)))) (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow n (/ k 2.0))))) (* (- -1) (pow (* 2.0 PI) (/ k 2.0))) (* (- (* (- 1.0) (pow 2.0 (/ 1.0 2.0)))) (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))))) (* (- -1) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* (- (* (- 1.0) (pow 2.0 (/ 1.0 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2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (- (+ (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (* (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (* (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* PI n) (* PI n) (* PI n) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow PI 1.0) (pow n 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (pow n 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow PI 1.0) (pow n 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow PI 1.0) (pow n 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))))))))))))))))))))) (- (+ (* +nan.0 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)))))))) (- (+ (* +nan.0 (* (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)))))))) 6.198 * * * [progress]: adding candidates to table 7.078 * [progress]: [Phase 3 of 3] Extracting. 7.078 * * [regime]: Finding splitpoints for: (# # # # # #) 7.080 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 7.080 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # #) 7.116 * * * * [regimes]: Trying to branch on n from (# # # # # #) 7.147 * * * * [regimes]: Trying to branch on k from (# # # # # #) 7.182 * * * [regime]: Found split indices: #